Eyelid surgery is a surgical procedure to remove fat and excess skin and muscle from the eyelids. This surgery can correct drooping upper lids and puffy or baggy lower lids. Eyelid surgery is not a lift. It will not remove wrinkles or lines around the eyes, nor will it alter the tone of dark circles under the eyes. Eyelid surgery can add a crease to Asian eyes, but it will not remove indications of race or ethnicity.