Dear Sir
There is no obvious natural cure for cheilitis. The most common cause is dryness around the mouth. It is caused by
vitamin b2 deficiency. It is also caused by several other auto immune conditions, however unlikely in your case. Though I would appreciate if you may tell me more about your medics history.
I would suggest any multivitamin tablet once a day till it resolves and use Vaseline ointment on lips to prevent further dryness and super added infection to the mouth.
Next Steps
You can send a picture, start multivitamins and use Vaseline