Heat oven to 375°F. In 12-inch nonstick skillet, mix beef and sloppy joe sauce. Heat to boiling over medium-high heat, stirring occasionally.
Meanwhile, unroll dough; separate into 12 breadsticks. Cut each into 4 pieces, about 1 1/2 inches long.
Pour beef mixture into ungreased 12x8-inch or 11x7-inch (2-quart) glass baking dish. Place dough pieces in single layer over beef mixture.
Bake uncovered 13 minutes. Sprinkle with cheese; bake about 2 minutes longer or until cheese is melted.