Here is a home remedy for chapped lips. Now, I was told this many, many years ago. I do not take responsibility for it. Now that we have the legal stuff out of the way.
All you need to do, according to who told me, is to kiss a horse's or a cow's hiney, at the base of the tail.
It may not help your chapped lips, but it will sure keep you from licking your lips and making them more chapped.