In the grater very little rest hangs when the cheese is processed frozen. Of course it is a bit heavier, but no problem. After the last use before cleaning can easily knock out the remaining crumbs content, then all parts are broken down into the dishwasher. For this you turn the crank in the opposite direction. Due to the clever design nowhere collects water and the cheese grater is again clean tidy.
Softer cheeses in the fridge temperature will freeze to mush, so also if necessary. But for these cheeses I have not bought anyway the grater.