The procedure removes extra skin on the upper eyelid so eyes look less droopy and much more awake. After confirming I was eligible for a prescription through , I tested the eye drops for a few weeks. How to use Upneeq eye dropsUpneeq is administered just like any other eye drops. My left eye 15 minutes after putting in my Upneeq eye drops, and my right eye with nothing in them. And Dr. Lazar agrees: "Upneeq is an excellent medication for the right patients," she says.