Is there a cosmetic surgery that can "tighten" the lower eyelid?

Tightening lower lid: This can be achieved through a multitude of methods, depending on just what you are needing to have tightened. Whomever your see (plastic surgeon, facial plastic surgeon or oculoplastic surgeon) should be able to provide options for you to choose from, tailored to your unique problems. If they only have one way of doing something, you may want to look elsewhere.

Blepharoplasty: There are many options, both surgical and non-surgical, but the cosmetic or plastic surgery that tighten's the lower eyelid is called a blepharoplasty. Loose skin, muscle and fat can be addressed through an incision on the outside or inside of the eyelid to treat malar bags, tear trough or loose eyelids.

Yes: Lower eyelids can be tightened surgically.

Yes: Canthoplasty and/or canthopexy.

Yes: There are degrees of tightening from minimal to maximal. A skin only blepharoplasty, to a orbicular is suspension, to a canthoplasty.