I'm making your Booby rolls and wondering how long the dough can remain in the fridge? One day, four days?

With that much yeast, I'd say absolutely no longer than overnight (12 - 15 hours or so) - this said after decades of making dinner rolls, sticky buns, etc. and refrigerating before baking. Any longer than that will detrimentally affect the texture and taste of the rolls. ;o)

Hi Blaire, in the comments, Hannah, the recipe author, notes that the rolls can hang out in the refrigerator for a few days, and also says, "I would tie them though right before you pop them in the oven instead of when you refrigerate."