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Rex hamsters have curly eyelashes and whiskers as well as the wavy coats. Sometimes the eyelashes turn inwards and will scratch and irritate the eye surface causing this problem which may need vet treatment to resolve. It is common in rexes and similar to the condition in dogs.
If the eyes become damaged by the constant irritation in can be hard to resolve. Bathe with a saline solution if it gets stuck again and watch out for soreness on the eye of a discharge which can be pinkish.