Two of my cats like to give love bites: When I am petting them, they will nibble on my hands and arms. Eamon will alternate these little nibbles with actual licks, which is great as he also drools when he purrs. I appreciate the cleanup help. Jasper doesn’t drool, but he bites with quite a bit of force, and often breaks the skin.
Here's what I do. When the cats bite me, I stop providing all affection and walk away. They are learning not to bite me if they want me to keep petting them. Does it work? Not always. But I keep trying!