the cut is also sometimes in reference to natural breaks in the reef the reef where boats can go in and out of the inter Lagoon area.
There is one every mile or so along the reef, Hol Chan is a cut, and in fact the words in Maya means just that. Mexico Rocks Cut',Tres Cocos Cut', Mata Cut, and the big one in fount of town called the Tuffy Cut.
The bridge goes over a river dividing the town from the civilized part of the island. I've heard it referred to as a cut but I don't think thats what it is.
I think Cay Caulker refers to theirs as a 'split', but still refers to the breaks in the reef as 'Cuts'. The Caye Caulker Cut' is in frount of the Caye Caulker island and is the dorway to the outside reef we use to get to The Great Blue Hole'.
I've had my coffee!