Hi Dear,
Understanding your concern. As per your query you have  roughness inside lips with swelling which is nothing much to be worried about. Since you don't have any systemic symptoms like pain or 
fever till now it cannot be an infection. Eversion of lips leads to 
dehydration and feeling of chapping of lips. It can be due to some allergic condition either due to some food stuffs you had or some medication you are taking or can be due to deficiency of some 
vitamins. 
I would suggest you to maintain proper 
oral hygiene and drink plenty of water, rinse with warm salt water and be careful of diet to limit acidic foods.
1) Brush two times a day along with flossing.
2) Rinse with antimicrobial 
chlorhexidine mouthwash
3) Have green leafy vegetables and fruits and take 
multivitamin tablet to combat vitamin deficiencies.
4) Apply moisturizer on lips to prevent them from drying.
Follow these instructions and wait for few days , your symptoms will go away and if still persists meet 
dentist or a 
dermatologist. Dentist will check if any sharp or rough tooth surface is not irritating your 
oral mucosa and will start treatment accordingly.
Hope your concern has been resolved.
Best Wishes,
Dr. Harry Maheshwari