Eyelid puffiness, drooping upper lids or fine wrinkles around the eyelids can make people appear tired, sad, or older than they feel. If you are unhappy with the appearance of your eyelids, cosmetic eyelid surgery (blepharoplasty) may offer the improvement you seek. Eyelid surgery can remove drooping skin and excess fat of the upper eyelids, reduce under-eye bags and tighten the lower eyelid skin.