I feel ya. I do this all the time. I did the same thing Saturday with my drill press. It was a 3/4" forstner bit, and let it drop from the chuck into my hand, so it wasn't like I pinched it and could let go. And it was like a $20 bit, so I didn't want to just drop it. It was like a hot potato. but stabby.I drilled a hole in the ceiling to install a hook.
I grabbed the drill bit and burned the palm of my hand.
Pretty stupid move.