Fat injection is a common treatment option provided by many plastic surgeons. Cosmetic surgeons are not just lifting sagging tissue with a facelift, but rather treating the aging face via multiple methods to provide truly comprehensive rejuvenation. We have a better understanding of the aging process now, which includes fat loss in the tissues of the face. Fat injection helps replenish this volume loss naturally. Many cosmetic surgeons will inject some fat in the cheeks, under the eyes, or around the mouth, in conjunction with a neck lift or facelift.
Some patients may not be ready yet for any lifting type procedure (face lift, neck lift, cheek lift, mini lift, etc), but rather need volume enhancing procedures alone, such as fat injections. There are many other alternatives to fat that also provide volume, such as Radiesse or Sculptra.
Only after a comprehensive evaluation can a plastic surgeon help determine appropriate options for you. Best of luck.