Aw naughty Albert. It is very common for hamsters to pee in their wheels. Some don't but most do. I think people vary as to how they manage it and it also maybe depends on the type of wheel. I haven't got a hamster that pees in the wheel at the moment! But I found it fine to leave it for a day or two and then give it a wipe with a damp cloth. And then give it a proper clean maybe after doing that a few times. If it had a full clean every day it might cause stress, but there's a balance too as you don't want a stinky wheel too long.
I had one hamster who refused to use his wheel if it had been cleaned - eventually he would be tempted back into it by putting a few treats in it. Obviously it might depend on how bad it is as to how often you decide to clean it. A wipe out isn't a complete clean but removes most of it.