If I use glass cleaner, I make sure the glass top in down and gently spray downward toward the floor so the mist doesn't spray.
Or, you can spray some glass cleaner right on to a paper towel and then wipe the glass.
Sometimes, I just take a wet paper towerl, wipe outer glass then dry.
I have never had a problem using any of the above methods. The key is to not have any chemicals, mist or fumes in the tank.