The simple trick that my granddaddy taught me, for pups and kittens that like to bite is sort of based on the premise that in the litter they'll learn what's acceptable play and what's not permissible because the others in the litter bite back.

The one thing that's always handy when the critter starts to chaw on you is the hand he's gnawing on. It's pretty easy to slide a finger into his mouth just enough to drag a little of his lip over the top of his teeth, and then you just squeeze fairly firmly. Then, if he wants to bite you, he has to bite himself first. Say NO! or OW! while you do it.

Don't squeeze harder than you have to, because you're sending a message, not trying to hurt him. Most pups or kittens will "freeze" pretty quickly, or try to get away; and as soon as he does, you say NO! or OW! (again) just before you let go. Then, unless he jumps right back to it, reassure him that he's still your favorite beast.

I've never had any of a dozen or so pups or kittens that took more than about 3 days to get the message, and with some, once or twice is enough; although "backsliding" may occur after a week or so in a recalcitrant one. And you do need other methods for the pup that wants to eat the TV remote (one of my pups ate 3) or other "inanimate" objects like the legs on the piano that can't bite back.

John