I would never name my child this. I really like it as a nickname for Dominic (it is way better than Nic), but I think it's too short to be an actual name.
People! It's actually short for Dominic. A sort of famous (but nontheless rather sexy) bearer is trans-Atlantic oarsman and polar explorer extraordinaire (as well as former Royal Marine) Dom Mee - could you want more of a man ladies?