There could b multiple reasons for the skin peeling. Most common are Allergic Reactions caused due to Exposure to various skin irritants, such as nail polish, soapy water, nickel, latex, solvents, and detergents. Other causes are Nail biting:,
Vitamin deficiency or dry climate. Weather changes: Dry climate or winter season can often lead to dry, cracked, and peeling skin. If its increasing and causing discomfort consult a Dermatologist for the same.