My rink is often colder this time of year than any other, because they turn off the heat and it still gets into the 20's and 30's at night. It's been an unusually warm winter, though, and at public 2 nights ago I got so warm skating I actually took off my gloves. My jacket usually comes off at some point unless I'm only doing moves, but I almost never want to take off my gloves.
The roof in our rink gets condensation on it during warmer rainy days, and the condensation drips down and forms bumps on the ice. Sometimes we spend 10 minutes of a freestyle session just trying to scrape off the bumps so we don't wipe out.