Yes, when he is no longer a baby. Puppies teethe like human babies do. I used to put twisted wet washcloths in the freezer. He liked chewing on them, and it seemed to help.
If your puppy has sharp nails, and you know how to cut them (especially if the nails are black), then you may want to do that. If you are concerned about cutting in the quick(s), let a professional do it. And make sure the professional knows you do not want them to take *any* chances that they will cut in the quick. That can make your puppy terrified of getting his nails clipped - for the rest of his life. If the puppy has black nails, the professional can use a dremel -- it's a lot easier than guessing where the quick is, for those who know how to do it.
When my dog was a puppy, his nipping was a real problem. I used a method that was supposed to work beautifully and didn't hurt the dog. It didn't work. I put many kinds of sprays like bitter apple on things I didn't want him to chew on, and it didn't work. Then one of my sons showed me how he trained the dog, and it did work. What we did was very gently hold the dog's mouth closed (so he wouldn't get scared or feel any pain at all), and say "gentle". To this day, I can play with him without getting bitten, even accidentally. He looks like he's going to take a hunk out of me, so it is fun to play these games to horrify people who aren't yet in the know. Yes, it took him awhile to get the idea.
Dogs love faces. Mine always wants to lick people's faces and I don't let him do that to me. So many folks let dogs lick their eyes and mouths. I taught my dog the kiss command. He kisses me - very quickly -- on my cheek between my lips and my ear.
What breed of dog do you have? It took me 5 months to get used to having a puppy. Part of the problem was that I didn't understand how he thought. It had been decades since I'd had a terrier. And part of the problem was I was so used to the dog I had before him. My Rough Collie was housebroken in 24 hours. He learned every command by the first or second time I went over it with him. He was like having another person to help me with my four kids. Etc.
The only problem we had with the collie was he nipped a lot more than any dog I've ever met (herding breed). So I put clove oil on our shoes, hands, etc. Collies apparently hate clove oil. I do too, but it was better than being nipped. He outgrew that after a year or two (I can't remember which is was).