I second what both individuals already said. The tail as it exist now doesn't make sense. I won't repeat what was already stated by others in this regard.
Instead I'll nitpick about everything else! Though before I go out of my way to criticize everything let me say that most of it isn't that big a deal. That is to say that while I don't think this creature would actual evolve as described I think authors get a certain amount of artistic license and frankly having to limit yourself to only what should evolve can make rather boring species. if you fixed the tail thing, and possible the feet, I couldn't see myself even at my most finicky really being upset about the other details occurring in a story. Still you asked sooo....
Grasping feet sure are Handy:
The detail that most stuck out to me a odd, other then the tail, was the feet which you described as 'hand like' but being no more dexterous then a foot. I don't think this makes sense, either the hand is still serving as 'a hand', being used to grasp things like tree trunks and/or cave walls, or it will evolve into a more appropriate foot.
The reason for this is simple, ignoring my horrible pun it is useful to have a foot that can grasp things! Useful enough that evolution doesn't want to 'give up' that ability lightly. There is no reason to still have a hand-like foot and give up on the usefulness of dexterity, there must be something gained by sacrificing the ability to better grip.
By comparison let's look at humans. We evolved from arboreal creatures and when we split off from chimps/bonobos we likely did have grasping feet similar to what those animals had. So why aren't our feet useful for grasping now? because we sacrificed that to be better at walking! Our feet slowly adjusted to a more foot-like posture to support walking more efficiently. In this case we did give up dexterity, but the benefit of more efficient walking that came by changing the shape of the foot was worth it (while humans aren't great sprinters were actually one of the best species out there for long distance walking...)
Similar to humans your species would either adapt to be good walkers by loosing the hand-like structure of the foot or they would maintain the hand structure only because they are regularly using it for climbing and thus would still have more dexterity. Given the other aspects of your creature though I'd say it's more likely it would have a more 'normal' foot, practically due to the runner build (get to that later) and partially because...
It's not fun to snap your thumb while running
Given the picture of your creature the foot structure is particularly inconvenient to run on. In particular the 'thumb' is positioned in an awkward position. If someone steps wrong they could accidentally put all their weight on their 'thumb' and snap it in half. Across all species any creature that spends most of it's time walking usually combines it's 'fingers' into a more solid landing platform that is not as easy to harm. That could be something like hooves or something like the human foot where toes exist, but we land on the much more solid back of our foot, rolling onto the ball ball of our foot, and only really use the toes to push off. In every case land animals try to have one limb landed on so it's less likely a bad step will lead to injury. That thumb looks very injury prone right now.
Claws don't work well on rock
The long talons on the foot of this creature don't seem to make sense. The legs wouldn't seem viable for attacking or defense often (especially with the posture change suggested in other answers), so the claws aren't useful as weapons. Outside of that the claws would be mildly in the way for walking/running, and significantly in the way if your creature preferred climbing on cave walls.
The only situation where I could see long claws on the foot making sense is if they are used to dig into something to get a better grip. So if the creature usually walked on land so soft, and prone to move, that the claws could dig into the dirt to give them better grip. Though even in that case I'd imagine such claws would be retractable, only used when intentional for gripping, not always present.
Get rid of those bloody horns!
I have nothing against horns themselves, many species evolve horns as part of the classic handicap principal to advertise sexual fitness. However, there is no reason for them to have blood in them. Pumping blood through the horns means the heart needs to work harder to pump blood, and if a horn is damaged it leads to major blood loss. There is nothing really living in a horn, any more then your fingernails are 'alive', so there is no blood needed to keep the horn alive. Just make the horns more similar to horns of deer or similar species.
Your species is in a hairy situation
This is really a nitpick, but having both hair and fur seems unusual. They do the same thing, there isn't much reason to evolve hair on the head in addition to fur. The most likely reason for hair to evolve was some form of fitness indicator, but since horns already serve that purpose there is no reason to have two different fitness indicators.
Like I said that's a really trivial issue. I'm sure given time I could come up with some sort of valid justification for why the creature has hair as well as fur. If you like it having hair I wouldn't suggest you remove it just because of my being overly critical :)
Are you a sprinter or a climber?
You claim the evolution of this species was focused on climbing in caves, but you gave it a number of adaptations that make more sense for a sprinter.
Most notably the tail only makes sense for a species that expects to be sprinting at high speeds and need mobility to change direction rapidly while sprinting.
However, there isn't much sprinting happening in deep caves. Climbers usually don't sprint since they use their height advantage to escape predators. So the question is why do they have sprinting build if their evolution primarily happened in caves and focused on climbing? maybe after they left the caves they lived in plains where they needed to sprint to either catch, or escape, other animals. However, if they lived in the plains so long that they had evolved to sprinting they probably wouldn't have much of their original climber build, especially the feet-hands, which are not at all conducive to sprinting!
How heavy is your tail?
Related to the question about rather this species was suppose to be a climber or a sprinter is the question of the tail's weight. To climb it will want a light tail, as any significant weight on the tail would both weigh the species down and act as a lever pulling the species away from a wall.
However, a sprinter potentially wants a decent bit of weight in their tail to help with conservation of angular momentum. and the tail as drawn looks like it would be a little heavy.
If you want a tail but don't care as much about how it looks you may want to consider switching to something more like a monkey tail. A thinner and lighter, but more muscular, tail that can be used for gripping to assist in climbing. Of course monkey tails make more sense for an arboreal creature then one that climbs on cave walls where there aren't any branches to grasp the tail on, but I'm sure you could either justify why there are things in the caves the tail could wrap around or claim the species was originally arboreal before it evolved for caves and the tail originally evolved for arboreal life found some other use to justify it's persistence later, possible just mate selection even.
Are you predator or prey?
The sprinting build and muzzle, especially it's teeth, and to a lesser extent the claws, seem to point to an evolution as a predator. However, there aren't many two legged land-based predators out there for a reason. They use to exists, and they were generally outcompeted by 4 legers which could move as fast or faster and attack easier. 2 legged predators were common back in dinosaur age, but that was as much because it was extremely hard to evolve a 4 legged posture given dinosaur physiology, in a sense you could argue 2 leg predators were a thing only because evolution hadn't gotten around to evolving 4 legged predators yet.
Before anyone says it yes humans are 2 legged and apex predictors, but we do that via technology. We are evolved primarily as generalists omnivores and only really grew into apex predators after we had reached a certain level of intellect and technology. We aren't evolved to be primarily predators or have much in the way of traits evolved primarily for predation. For the record I don't buy the claim that humans evolved for, or made heavy use of, persistence hunting in the past, but I don't want to bog this discussion down with that much nuisance.
So the question is if your species is a predator how does it hunt, and manage to not be outcompeted by other hunters? A potential answer is that four legged predators just didn't evolve in this world, but the posture of your mammal-like species suggests that four legged locomotion could easily evolve from a species similar to it so that seems unlikely.
Your species also doesn't seem to have a very effective method to make a killing blow. The fact that it has such a long muzzle implies it uses it's muzzle to bite, but it's too tall to get under the neck of the prey for a killing bite. Though perhaps if it leans far enough forward while running it's muzzle would be closer to neck height. There is still the problem that it's long neck and build doesn't seem that well suited for going in for a kill with the muzzle, the neck could be easily injured during the scuffle after a bite, you want a smaller more compact build if your going to be diving for a preys neck and holding on for dear life.
As an alternative perhaps it uses the muzzle merely to hold on to the prey and uses it's claws to kill. If it jumped onto it's prey and clung on with a strong bite it could then claw away at exposed areas but...well this still feels awkward. It's still not compact enough to cling to prey well and it doesn't seem well suited to leaping the way a raptor was.
I pray I won't be your prey
Alternatively you could have the species not be a predator but prey. The positioning of the eyes, more on the side of the head, are more suited for prey species. However, if a prey species you would expect the muzzle to be shorter (long muzzles mostly exist to make it easier to bite, and hold onto, prey species when predator goes in for the kill).
The claws may also may not make sense for prey species, but you could claim the claws on the hands were used primarily for competition over mates instead of defense from predators so it's not that hard to justify claws on the hands if you really want them.
In this approach the species would likely be an omnivore that will eat anything, but may not focus on hunting. The sprinter build would exist primarily for getting away from predator's rather then hunting prey.
Okay I think that's enough nitpicking for now :)