My son does it! He constantly is licking his bottom lip and to no extend can we keep it dry because of the fact he does it CONSTANTLY, I've been told to try Aquaphor for babies, I've been using chapstick myself for him and it's helping some.
@meagansimone, she drools constantly and sucks on her lip! We've tried keeping it try and patting with warm rags and using baby aveeno and nothing is helping