Mid Face Lift or Cheek Lift for Laxity Under Eye?

Dear Skintech
Both of these procedures have the potential for altering the lower eyelid shape. The skin and lower eyelid muscle laxity are the results of the lower eyelid sagging.
Tightening these structures by tighting the lower eyelid with a canthoplasty may actually make the lower eyelid position worse.
A chemical peel of this area with Phenol 89% is sometimes very helpful to shrink eyelid skin without creating deep scar in the lower eyelid.
In Chicago, Allen Putterman has done some very nice work at firming this area with minimal alteration in the eyelid position. You might consider investing in a consultation with him to learn what he recommends for you.
Dr. Steinsapir

What you describe can usually be corrected with and lower lid blepharoplasty. A cheeklift is done when the cheek is sagging and we want to raise it. The safest procedure for not changing the lower lid position is a blepharoplasty done by a skilled surgeon.
 

In many ways these terms are used interchangeably. So it is difficult for me to recommend one over the other.
The primary procedure which alters eye shape is called a lateral canthoplasty.
This is a procedure where the outer corner of the eye is elevated to a new postion generally to achieve greater support to the lower eyelid. This is commonly performed in individuals who have a lax lower eyelid when either a lower lid blepharoplasty or cheek lift. The problem is that if you put any weight on the lower eyelid it will pull it down and cause it to turn outwards.
This is similar to putting a heavy blanket on a clothesline. It will make the line sag. The only way to avoid this is tighten up the line. This is an oversimplified explanation of a canthoplasty.
The canthoplasty is the procedure that tends to permanently alter the shape or orientation of the eye.