A cat's licking-then-biting behavior may have a variety of causes. This behavior is often part of their complex communication and expression patterns. On the one hand, licking may indicate friendly, close, or clean intentions. However, subsequent bites may be caused by:

Game or explore: They may view this behavior as a form of play or exploring their environment and interactions with people.

Attention-getting: Trying to attract your attention in the hope that you will interact with it.

Overexcitability: This behavior may be exhibited unconsciously due to excitement.

Discomfort or pain: When you are not feeling well, you may express it in this way.

Learned behaviors: As they grow, they may be learning ways to interact with people.