No excessive worry about the eye. He's OK. It's not an emergency.
If the eye had a tiny bit of irritating debris in it, the eye would probably be drooling with thick tears by now. But only an exotics vet has the equipment to get a good look all over the surface of the eye plus under the eyelids. Human doctors use a drop of fluid that makes objects on the eye fluoresce. Vets probably have it too.
I( would say it's either a very tiny piece of something on the eyeball, or it's a harmless behavioral quirk.
Good luck! Stay in touch.