Safe and Effective Chemical Peel for Under Eye Area?

Dear Eazarafs
Chemical peels are all about trade-offs (most things are). There are no free lunches. The deeper, more dramatic results with chemical peels can be associated with alterations or even loss of natural pigment. Increased pigmentation can also be stimulated. On the other hand a 20% glycolic peel will do absolutely nothing for lower eyelid skin wrinkles.
For deep olive skin however, one must be very concerned about the effects of the peel on natural pigmentation. I have done 35% TCA peels on very dark skin. Yet even this treatment may do little to improve lower eyelid lines. The risk in going with a stronger agent like phenol 89% is permanent skin depigmentation. This risk is not worth taking.

Trust your doctor. If they feel that 8 progressive glycolic acid peels are what you need, then that is probably a good estimate. You can always increase into the TCA peels later if needed.