It's difficult for people who were raised in sheltered climates to imagine but Chuenagel (pronounced KEW nah gul) is one of the most painful things you can experience. It happened to me as a pre-teen hockey player at least a half dozen times -- always when we played at a handful of outdoor rinks in the Finger Lakes on subzero days.
I think it's a rite of passage in the Northeast (and likely the Midwest too).
Any outdoor activity below 20f can cause it: ice skating, skiing, ice fishing, snowmobiling, sledding, etc. More often in feet than hands for me.
Finger Lakes ice rinks? Binghamton was a little too far south to reliably offer that. Some friends/family owned cottages (not winterized) near Oneida Lake (10 miles NE of Syracuse), since it was large and shallow (max 60 ft) and would freeze over quickly and thickly. I spent many hours ice fishing in huts on that lake, which were reached by snowmobile.
Cayuga Lake is almost the deepest Finger Lake (435 ft deep) and would not reliably freeze over in any winter due to its water volume.
Nothing around Binghamton was that safe. Maybe Oquaga Lake, but that was still far. Kids/friends were always falling through ice on creeks and ponds, coming home with near hypothermia.
Having frozen/numb feet during the game wasn't the problem; it was the drive home putting them next to the floor heater and screaming bloody murder for 20 minutes as they dethawed -- far worse than the "prickle/sting" described above. Normally, my father would've told me to be quiet and stop being a baby, but he knew how bad it was from when he was a kid 30 years earlier playing at those same rinks.
Ah, growing up in the northeast.
For me, it was more common in feet when younger. I likely know how to prevent it better now. Hands are more common.
Also, I have skied with broken bones and other joint injuries due to cold days numbing the feeling. Those thaws and eventual black-and-blue/swollen areas were painful.
