Tightening the Outer Corners of the Eyes with Blepharoplasty?

The eye shape can and should be addressed when a lower blepharoplasty is performed.
Often, the problem occurs during a first blepharoplasty, when skin is removed from the lower eyelid. This causes pulling down of the eyelid and rounding of the eye. In some patients, theyr eyeball (globe) is prominent, and protrudes out of the bony socket. Both of these conditions can cause dry eye by too much rounding of the eye and too much exposure of the very sensitive cornea, the lining of the eyeball.
When the corners of the eye are corrected, a canthopexy or canthoplasty can be performed. In our practice, we almost always combine this with a cheeklift (LUSIC cheeklift), in order to "give" tissue to the lower eyelid so that can then be used to be reconstruct the corner of the eye.
The eye can change in shape, almost always for the better. Most patients prefer the unoperated appearance of an almond shaped eye to the rounded, operated appearing eye.
The lower eyelid is one of the trickiest areas in all of plastic surgery, and the patient should do their research carefully before undertaking the procedure. The highest incidence of unfavorable results in all of eyelid surgery occurs in patients with prominent globes.
There are several publications on this topic on our website drbrent.com for patients interested in the fine details.

Secondary blepharoplasty is always more risky than a primary blepharoplasty. This is especially so in patients with large protruding eyes. The risk is that the lower eyelid will retract downward and expose the eye further in a condition called an ectropion.
It sounds as though your doctor plans a lid tightening procedure called a canthoplasty or canthopexy which is the appropriate way to corrrect or counter the problem of ectropion.
The cantopexy or canthoplasty will definitely change the shape of your eyelid by creating an upward slant and your eyes will look smaller.
These revisional procedures require experience and expertise. Personally when I do a canthopexy or canthoplasty in the situation that you describe, I do the canthopexy or cantoplasty through the upper eyelid incision and do any lower eyelid revision through a transconjunctival incision on the inside of the lower eyelid to avoid weakening the lower eyelid suport by placing an incision through the outside of the lower eyelid.

Before undergoing a canthoplasty or canthopexy to reduce dry eyes, one should check with their ophthalmologist about placing silicone plugs in the tear ducts to gain more tears in the eye itself. Other eye drops prescribed by an ophthalmologist can help with dry eyes. Tightening the corners of the eyes will change the shape of the eyes to more of an almond shape, which may help a little bit with the dryness. Your eyes will look different, especially for the first month.