In a small mixing bowl, add your apples, brown sugar, and cinnamon. Mix well. Add a layer of apple mixture onto each pizza. You will have some apples remaining.
In another mixing bowl, add butter, flour, brown sugar, and cinnamon. Either use a pastry blender, or two forks to cut in the butter. Combine until small clumps form. Split filling between both pizzas.
Put pizzas into the oven and bake for 20-25 minutes, or until golden brown. If your pizza edges get too brown, make a tent with foil.
Remove from oven, and once completely cool, drizzle caramel sauce onto each pizza. Cut into triangles and serve at room temperature.
Notes
This would also be super decadent with vanilla ice cream on top.