When a cat licks its fur, it means it's grooming and cleaning itself. Since cats have barbs on their tongues, if you see your cat licking its fur, it's most likely grooming itself. This helps keep its fur from getting tangled and removes dirt. Cats are generally clean animals and don't need frequent baths; once every two months is usually sufficient.
Of course, a cat grooming itself also indicates that the cat is relatively healthy, because when a cat is sick, it usually shows symptoms such as lethargy and drowsiness, and at this time they will not have the energy to groom themselves.
