My dermatologists strongly discourage long-term use of this stuff, especially in the summer, as it could lead to skin cancer (immune cells are present in low numbers, so smaller chance they will interact with cells in a precancerous stage, and protopic makes them fail to proliferate...)
I think there are better alternatives to reducing inflammation. For starters, reduce irritation and improve humidity, stop picking and licking them and trim them with scizzors, and finally, cutting out processed sugars and white flours seems to help. Also, allow your lips to breathe and not covering them with balms etc., as you have done already :)