While figuring out how to create clear ice cubes at home, I found some instructions that require handling of the ice for several minutes outside of the freezer. They all claim it's okay to put it back there for later use, but I am a bit concerned about this.
I am aware that ice cubes aren't food like pizza (which shouldn't be refrozen once thawed), but what about ice cubes made from store bought or tap water (no chlorine or anything in my area)?