Let's say that there's a vampire that doesn't need much blood per day - something like a teaspoon. Instead of deriving nutrition from it, they need it for its antibodies, so that their nonfunctional immune system can "adopt" them (long story).
Instead of puncturing the skin and feeding, they use a micro-barbed tongue similar to that of a lion's to scrape the skin off of the area (think minor road rash), followed by lapping up the blood that flows from the abrasion.
Is this a more biologically advantageous method of extracting a small amount of blood from a human body on a regular basis in comparison to a fanged bite?
Advantages I can see:
it's less likely to result in infection, since the wound isn't as deep, meaning that it's more likely they'll be around for another feeding
it doesn't require breakable teeth to be inserted into something
it probably won't be as painful, considering that it doesn't go through as many layers