yes, they still have their claws and they have to be trimmed regularly, but they do not have the ability to extend their claws. Cats are adaptable though and Boomer can still hook them into his scratching post or into the carpet so that he can still stretch out and feel like he is scratching. He acts as though he doesn't even realize that he can't really scratch.
Only his front claws have the tendons snipped, his back claws are intact for use as protection if he ever gets out. Though the scars on myhands are living proof that he CAN scratch if he REALLY wants to