All bunnies seem to get a wee bit of eye “sleepies” in the corners, and most seem to like to hold still and let you wipe it off for them gently. I do this nearly every morning for Sammy. It’s like we groom them a bit. She has more than Spockie did, and she has had some large, flat white things floating in her eye that I was finally able to pluck out. She didn’t seem to be able to get it out herself since it was smack in the middle and moving. It was like white mucus. I reported it to my vet and it wasn’t anything to be concerned about.
But Spockie had a “weepy” eye, clear, liquid discharge from the corner, and THAT needed treatment. Just a diagnosis from the vet and a tube of ointment application for a couple of days and it went away. It was a blocked tear duct – very common. So yes, if it’s not white and removable, preferably by Zelda herself, get it looked at. But generally, it’s just normal sleep stuff.