No problem with that as long as you don;t put your hand on it.
It's really not so different from any hot item in the kitchen--except that it's different from what you're used to, and the hot bit is mobile, unlike, say, with a waffle iron or electric frying pan or sandwich maker. Overrall, I think these are very safe, but need the same care as anything that gets hot. (Incidentally, they are set with a thermostat to not get hotter than 140 C-- so not as hot as some other items or even a roasting tray straight from the oven.)
I sometimes gently set the lid on the stand for the pan after removing the pan.
One more feature that hasn't come up in the thread yet: they are also supposed to be economical with power. There's a blog somewhere about someone using the remoska during a year of economizing. Certainly better to use it than whole oven for just one or two baked potatoes.
But hey--I'm talking too much. (no, no commission from Lakeland...)--curious about whether others have remoska recipe specials??