We don't refrigerate the leftovers. Usually just put plastic wrap or something over the leftovers or put them in a zip lock bag depending on how much is left over.
I did not refrigerate the leftovers when I made it a few weeks ago - but we finished it the next day. I would probably refrigerate if I was going to try to save it longer than that.
So funny you posted this - I just put mine in the oven to bake!! Have been craving it! We just wrap it in press and seal IF there are leftovers (typically not, though!).
Re: Monkey bread question
Leftovers? never! It will all be gone, promise
I use the Bridgeford bread dough. It comes frozen with three loaves, it's by far the easiest way to make it.