I'm currently working as a supervisor in a roll grinding shop, and we just got done rebuilding part of a large roll lathe. The swarf that peels off of that bad boy is cherry red as it's coming off the roll, and the curly cues are like razor wire by the time they hit the ground. If somebody is clearing chips from a stationary or locked out machine, I totally understand the gloves.
If it's running? Not so much. Then again, your hands should be no where near the tool bit when the machine is turning anyway. Not on a lathe that big.
Kind of an aside, but I'll never forget this example: I was just a kid piddling around in my dad's wood shop when I turned on his belt/disk sander without asking. He picked up a scrap piece of wood that on one end was just a little larger than a man's finger, and he rammed it into the spinning disk, vaporizing it in a matter of a couple seconds.
"Now what do you think that would do to a finger? This machine ain't smart enough to know the difference."
I have that machine in my shop right now, and I often think of that while I'm using it.