Reggie,

I have had rodents that chewed through water bottles, too. It IS frustrating ... seems mine always did it at 10:00 pm after all the stores closed.

For a temporary fix, should the situation ever arise again, YES, use duct tape!

For a permanent fix, there are several, most already mentioned, that I have used in the past with good results: buy a glass or metal water bottle instead of plastic;buy a metal guard sold at pet stores or just get a thin piece of metal, drill holes in the corners and attach it to the bars of the cage between the bottle and cage, or buy the attachements that can be screwed into normal plastic bottles.