Where is a Mini or Midface Lift Anchored? Is the Tissue Sutured Under the Eyes or Near the Ears? A Surgeon Once Warned Me Away

I believe some background information is necessary so that you can better comprehend this answer. In general, a facelift (aka rhytidectomy) is a surgical procedure to treat sagging skin and soft tissue of the face and neck. Classically, this is performed through access incisions that are strategically placed to hide the resultant scars, so that underlying soft tissue can be elevated in a more youthful location, sustained with support sutures, and excess skin is then removed when necessary. Over the last 40 years, there have been at least as many variations of this procedure designed, in part, to treat the wide variations of aging and facial characteristics that makes us all unique. Variations of these operations have also been developed to attempt to improve longevity of the results, minimize scarring, and some to decrease downtime. 

A mini facelift (aka weekend lift, lunchtime facelift, rejuvenation lift, s-lift) is basically a face lift where incisions are placed around the ears and the skin undermining is usually minimized and the lift is often created by pulling on the skin and supporting the lift at the suture line. This is usually reserved for patients with only early signs of aging. It can sometimes be performed under local anesthetic and there is usually less downtime. When used on someone with more advanced signs of aging it will usually not produce a very long term result;months to a year. There are many variations of this facelift variation. 

A mid facelift also has many variations. Usually this implies that the central portion of the face is being tended to. This is used to correct the lower eyelid cheek interface. This operation can be performed through an extended lower eyelid incision or a variation of the preauricular (in front of ear) incisions or a combination of both. It is imperative that the underlying support soft tissue is anchored well or it can lead to unsightly cosmetic and functional lower eyelid problems.

Before entertaining any of these procedures, I highly recommend that you consult with a board certified plastic surgeon that has experience with these procedures.   

A midface lift is sometimes called a suspension cheek lift. This is because it is anchored above the cheeks, lateral to the eyes, in the temporal region. Specifically, it is most commonly anchored to the temporalis fascia.

Because this is some distance away from the eyes, if this procedure is done well, it rarely causes any pull on the lower eyelids. It may improve the position of the outer eyebrows by elevating them along with the cheeks - often this is a very nice added benefit rather than something you should be warned away from. The direction of pull on the cheeks is upward and outward and on the eyebrows is upward.

Midface lift implies lifting the midface or cheeks and this is probably what was meant that was anchored under the eyelids.  A minifacelift can mean anything but in general produces mini results.