The skin around your eyes has fewer oil glands than various other parts of your body, leaving it in some instances dryness. The dry skin, if left untreated, finally lead to thinning, flaking, and creases. This is often noticeable when your humidity drops, while during winter, in an airline cabin, or office watercooler within a building heated by furnaces or forced-air heaters. Other causes for dry skin around the eye area include excessive bathing, cosmetics and makeup, or a hypersensitive reaction to certain chemicals.