Peely Lips

This winter I have noticed I bite my lip about every 30 second. I do this in order to bite off the peely skin that is constantly shedding. Today I was out shopping with TJ and saw another guy do the same thing. I sighed and thought "phew I'm not the only one". I attribute this to winter, pregnancy and a heater vent that blows on my face at night. I'm not sure how I can possibly have so much skin to bite off constantly, you think they would bleed. I drink water and other fluids all day long. Maybe I just need to find my chapstick. Anyway, anyone else have this problem?