Since someone asked already, Unarmed is fully compatible only with Psychology, Mentalism, Necromancy (providing you wear a necromancy gem necklace) and animal handling. Equipping a weapon (other than claw+cestus) or being an animal (no hands/fists) disables the unarmed abilities that involve hands (like Punch, Barrage etc)

It can be combined with anything else but it would lose all the "hands" abilities (including the basic skill I believe) so the combination with the rest of the skillsets is only partial.