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I managed to tangle my ring finger up in the sprocket when the bike wasn't even running! It hurt like a bitch, poked a nasty hole in my finger (which healed completely woo!), and bled everywhere (stitches probably would have been a good idea, oh well). I can't imagine the damage that a running bike could do (yes I looked, no I don't care to remember what I actually saw, much less do I want to imagine what that felt like). Lesson learned: spin the tire such that the chain is moving AWAY from the sprocket on the side from which you are holding the chain. There were two of us and I was trying to help by cleaning both top and bottom at the same time...one of us was gambling and it turned out to be me. Whoops.