On a lightly floured surface, roll out cookie dough to 1/8-in. thickness. Cut out 15 ovals, using a 3-in. egg-shaped cookie cutter dipped in flour. Place 2 in. apart on ungreased baking sheets.
Bake at 350° for 6-8 minutes or until edges are lightly browned. Cool for 2 minutes before removing to wire racks to cool completely.
Sprinkle cookies with confectioners' sugar. In a small bowl, tint 3/4 cup frosting with food coloring; frost top third of each cookie.
Using a star tip and remaining vanilla frosting, pipe a pom-pom, fur hat brim, eyebrows, eyes, mustache and mouth on each cookie. Press two chocolate chips and a red-hot candy into frosting for pupils and mouth.
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