hello...welcome to Healthcare magic
dryness of lips could be because of frequent licking of lips so as to overcome the dryness which in turn aggravates the condition inspite of curing it. Avoid licking the lips is good solution. This could also be because of in situ dry lips or as a part of atopy
(a allergic condition ). use of moisteurizing cream frequentely is the best solution along with avoiding frequent licking it.