I know some people do recommend it for shedding, but with a human dose like that again, I don't know what a Beep can tolerate. I'd probably err on the side of caution then and maybe for the stuck eyecap you can dab a little carefully with a paper towel or tissue (so not to drip it near his mouth) and hold him a bit before carefully wiping away the excess.
For any other shedding issue I would probably just do a warm soak and not risk it.
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