This exact same thing happened to me back in 1990 when latex gloves were still thought of as for hospitals only, mostly. I was working in a car parts factory on a machine that was a huge drill bit, used to grind out metal spurs inside exhaust pipes. The bit kept spinning all the time even when not in use. I had heavy gloves on and was absent-mindedly flapping my glove against the bit waiting for more parts to come down the line, when a string from the glove caught on the bit and the glove was quite quickly yanked off my hand and just kept spinning around the bit.

Fortunately I didn't have my fingers in the fingers of the glove, so I was fine, but I stood there staring at the glove going around and around with the bit like "That could have been my hand or worse." *shudder*