thanks for using Health Care magic .
I would be pleased to answer your question
It looks like an allergic contact dermatitis
, irritant contact dermatitis , lip licking dermatitis , atopic dermatitis
There is nothing to get worried about . i would suggest you to apply intensive moisturizer in that area for example from Neutrogena .
You could also consider application of a mild steroid cream like cortisone
1% ( available over the counter as cortaid) cream on the area affected .
Showing the Dermatologist
would be next best practice .
Thanks and take care .