Can you tell me risks, healing time and what to expect with skin pinch?

Hello. Based on your description and photo it appears that you most likely had a transconjunctival lower blepharoplasty with no skin removal. A "skin pinch" lower blepharoplasty with skin removal alone is a much shorter surgery than a traditional lower blepharoplasty and involves an incision immediately beneath the lower eyelash line to remove excess skin. It is typically recommended to relax and avoid strenuous activities for the first 48 hrs after surgery. Periodic application of cold packs help reduce swelling. It is recommended to sleep in an upright supine position with a few pillows behind your head. Avoid pain medications such as Advil, Aleve, Aspirin to decrease bleed risk. Swelling and bruising around the eyes are expected and will resolve over the following weeks. Depending on the surgeon, either an absorbable suture or permanent suture will be used for incision closure. If a permanent one is used, it is often removed ~7 days after surgery. Typically you can resume relatively normal activity ~3-4 weeks after surgery. Some more general risks include infection, bleeding, injury to adjacent anatomic structures, contour irregularities, eyelid shape changes, scar prominence, ectropion, as well as others.

Lower eyelid crepey skin can be addressed in several ways. If just wrinkles when smiling, off-label botox temporarily helps the lines.
With skin pinching technique, the excess lower eyelid skin at rest is determined with pinching just below the lashes. Some risks include bleeding, infection, scars, keloids, over resection, eyelid malposition, residual wrinkles, etc. Downtime varies most take 1-2 weeks off work; scars may need a least 6 months to fade.
Chemical peels, microneedling and some lasers also help improve lower eyelid wrinkles.

There is always skin wrinkling when face is animated (smiling). Depending how much wrinkling is present over the lower eyelids when face is not animated decision can be made; microneedling, chemical peel, skin only blepharoplasty. Hope this helps.