Honestly, I don't see any reason to clean screen. Are you referring to if you get it dirty? Light water definitely only. As for hand prints I use shirt lol.
I use a microfiber cloth to clean the screen... the same one that you would use for glasses. Personally, I wouldn't recommend using a shirt or as Europa said, any harsh cleaners like Windex or Rubbing Alcohol. You don't want to get it too damp.