Puffy and Drooping Eyelids After Botox

Eyelid droop can be corrected with a prescription eye drop (Iopidine 0.5%). This can help alleviate the droop within a few weeks to a month. You can also wait a couple of months for the effects of the Botox to wear off, at which point the droopiness will also go away.

While it is difficult to say based on post-injection and non-standardized photographs only, some eyelid puffiness or swelling can occur after Botox injections. When this occurs, it usually resolves over the next few days. 
More commonly, the issue is related to the brow position dropping somewhat and causing heaviness of the upper eyelid area. This is especially likely in patients with heavy upper eyelids, deep horizontal forehead wrinkles, and eyebrow position below the orbital rim prior to injections. These are all signs that the brow needs to be lifted into a higher position, or at least the Botox injections should be conservative in the forehead area and stronger in the glabella and crow's feet area to maintain the brow position.
Finally, ptosis (true eyelid droop) is possible with Botox injections, but this is less common and can be temporarily improved with prescription eye drops. This is due to Botox migrating into the muscles that open the upper eyelid.
Always see an expert physician injector.
All the best,

Eyelid drooping after neuromodulators like Botox, Dysport or Xeomin is a rare but well described issue, usually resulting from product placement or the amount used. 
The first thing that needs to be determined is whether it is a droopy eyebrow or truly a droopy eyelid. Droopy eyebrows are much more common and result from immobilizing the only muscle on the forehead that is able to lift up our eyebrows. Droopy eyelids come from the product getting into the wrong muscle that elevates the eyelid. 
Management of them is quite different, but both have strategies to help expedite resolution while waiting for them to resolve with time, and any experience injector should be very familiar with how to deal with them: drops for the eyelids and precise placement of Botox in the brow depressors when it is an eyebrow issue. 
To ensure you are receiving the highest level of care, seek out a modernly trained, new-school dermatologic surgeon, oculoplastic surgeon, facial plastic surgeon or plastic surgeon who is board certified and fellowship trained in one of these "core four" cosmetic specialties. Membership in organizations like the American Academy of Facial Plastic and Reconstructive Surgery help to identify a highly trained surgeon.
Cameron Chesnut#realself500 Physician