Dry skin is a problem not just in the winter with its cold temperatures, and howling winds, but dry skin can come from using harsh cleansers, having too hot a bath or even getting on an airplane.
The two musts:
A moisturizer is essential - A moisturizer performs several important functions. It replaces lost water and water-binding ingredients (such as glycerin) help keep it in the skin. Find products that cleanse and moisturize, saving you one extra step.
Licking them won't bring relief - it will only make them more dry and chapped. To keep your lips soft and smooth, apply a moisturizing lip salve, especially before bed.