Nah you should practically never wear gloves with stationary equipment. Bumping a spinning part with your hand can be bad and will hurt. Bumping it with a glove on is more likely and it has a higher chance of getting caught in something and dragging your hand in.

Some of the worst advice on the internet right here. Do not listen to this guy, he has no clue what he's talking about. I don't know what made him think he has the authority to comment what he did, but he clearly does not work with machinery and does NOT have the authority to say shit.

Google "lathe degloving" if you want to know why.