Unroll crescent dough. On each roll, at the wide end of the triangle, place one half slice of cheese followed by 2 slices of ham folded in half and 2 slices of chicken folded in half. Roll up like you normally would for a crescent roll and place on a baking sheet. Continue until all the rolls are done.
Brush the top of each roll with the beaten egg followed by a sprinkling of the bread crumbs.
Bake for 15-16 minutes until golden brown and rolls are fully cooked.
While rolls bake, add the sauce ingredients to a bowl and stir until well combined. Serve rolls with the sauce on the side for dipping. Serves 8.