The reason why a cat suddenly licks its lips frequently:
1. It's possible that the owner fed the cat medication or that there was bitter food in its mouth. Frequent licking of its lips increases saliva production, helping to eliminate the bitterness as quickly as possible.
2. The cat may have oral inflammation or injury, such as a fishbone stuck in its mouth. Pain caused by calicivirus infection can also be relieved by the cat smacking its lips or frequently licking its mouth.
3. Cats may lick their lips when they feel nervous or stressed. This is similar to an unconscious action, like biting nails or shaking legs when a person is nervous.
4. Cats lick their lips after eating. Their sense of smell is very sensitive, and they will lick their lips when they smell a special odor.
5. It's possible that the cat wants to clean its mouth after eating, as cats are clean animals. 
Measures to address oral inflammation in cats:
1. You need to adjust your cat's diet. If your cat has stomatitis, you should no longer feed it dry, hard food. Instead, you should choose soft food. You can soak the cat food in goat milk powder or warm water before feeding it to your cat. You can also make some easily digestible liquid food for your cat. Make sure your cat drinks plenty of water.
2. Cats are prone to stomatitis because their bodies are deficient in vitamin B. You can mash some vegetables and fruits into a puree and feed it to your cat. You can also give your cat Jiaqu Vitamin B to supplement the vitamin B it lacks. Then, you can give your cat some pet oral care products to help restore the health of its oral cavity.
3. After cleaning your cat's mouth, you can spray some Pet Mouthwash on the affected areas to help eliminate bad breath and drooling, allowing the oral environment to recover faster. Afterwards, make sure your cat rinses its mouth frequently after eating.
4. If the cat's stomatitis is severe, you can give the cat some cat medicine such as Meow-Woof Amo to reduce inflammation. Some pet owners will also take their cats to the veterinary hospital to get antibiotics, which is also acceptable, but long-term care is still required afterward.