How can i cure very chapped lips?

Many things: First (and most difficult) is to stop licking them. You may think you are not but you may be very surprised. Often a vaseline type cover will help protect your lips and allow them to resolve. However, it is always possible that you have become sensitive to something you have already been using. Keep it simple if you don't get better you should see a dermatologist.

With moisture: Chapped lips? Hydrate well- water is best. You can apply lip balms with beeswax base or oil base creams. Remember that lips require solar protection just like your skin – apply & reapply balms or creams with a minimum spf of 15. Going skiing ?- protect from sun & windburn by covering with a scarf or a ski / snowboard face mask with visor. Dry air? - use a humidifier. Try not to lick your lips!