PREHEAT oven to 350° F.
BREAK dough apart cookie dough into medium bowl. Combine dough and flour until mixed. Roll cookie dough to 1/4-inch thickness between two sheets of floured wax paper. Remove top piece of paper. Cut cookie dough into kites with cutter. Transfer kites to ungreased baking sheets, placing about 4 inches apart (2 to 3 baking sheets will be needed, pending size of sheet- kites will spread). Refrigerate for 15 minutes.
BAKE for 13 to 14 minutes or until lightly browned. Remove from oven and immediately pat sides of each kite with edge of knife to help retain shape. Cool on baking sheets for 5 minutes; remove to wire racks to cool completely.
DECORATE as desired. Adhere licorice strings to kites with icing.