Titan is a mixed ice and rock moon. Titan is extremely cold and no liquid $H_2O$ current exists anywhere in or on the planet. You'd need to raise the surface temperature 180 C to even begin the process!
If you began warming the surface of Titan enough to melt the surface ice, then the planet would start with melt pools forming on the icy surface.
Arctic Melt Pools
By NASA Goddard Space Flight Center from Greenbelt, MD, USA - Ponds on the OceanUploaded by PDTillman, Public Domain, Link
Ice as shown above and we encounter in everyday life here on Earth is just one possible form that solid $H_2O$ can take. As the environment changes from that found on the surface of the Earth to higher pressures and colder temperatures, water ice can take many different other forms.
Interior of Titan
The deeper you look into Titan the more exotic the ice gets. Ice I (the ice we are familiar with) is lighter than liquid water and therefore floats. Many of these other ices are denser than liquid water and so would remain in the core.
It would take a very long time (centuries, millennia, eons?) for Titan to warm enough to have to worry about anything other melt pools gradually increasing in size - even after they'd grown to the size of substantial oceans.
When the change did occur it would be sudden and it would probably kill everyone on the surface.
Use this thought experiment. Freeze a large container of water until it's frozen solid. Put heat lamps on it shining down. You'd see a similar process to what I described above, melt pools gradually growing in size. Even after the surface had entirely melted ice would remain at the bottom with water on the top - initially. With enough heat, the ice would experience a phase change, become lighter than the water, and then the whole planet would reorganize with the ice floating to the top and the water trying to sink to the bottom which releases additional heat.
It would completely disrupt the surface of the moon. Huge tsunami, huge chunks of ice blasting up from the depths. After the moon settled again, it would probably be perfectly safe to inhabit. But how long would it take for the Moon to settle down (decades, centuries, millennia)? A thousand years is an eyeblink on geological time scales.
Something like this in reverse on a scale 100 or 1000 times larger: