A cat licking your hand can mean many things, here are some common explanations:

Friendly and Closeness: A cat licking your hand may be a way of showing friendliness and closeness. They may lick to form a close bond with you and express their affection for you.

Odor perception: Cats have a very sensitive sense of smell and may lick your hand to sense the smell on your hand. They may be interested in the smell of you, or learn about your scent through licking.

Self-cleaning: Cats licking their own bodies is a self-cleaning behavior. They may be licking your hands because they instinctively want to clean themselves, or because they view your hands as part of their own body.

Attention-seeking: Cats may lick your hands to get your attention, hoping that you will interact with them, play with them, or give them your attention.

Habits or Preferences: Some cats may have a licking habit or preference, which may be part of their personality.