Place white chocolate chips and shortening in a medium microwave-safe bowl. Microwave on high for 1 minute; stir until chips are melted and mixture is smooth. If necessary, microwave on high for additional 30 second intervals until mixture is smooth. If you prefer, place in double boiler over low heat, stirring until completely melted and smooth.
Meanwhile, pierce 1 end of each cookie with a toothpick. Use the toothpick to dip entire cookie into the white chocolate mixture. Let excess drip back into bowl and lay cookie on wire rack. Before the white chocolate has a chance to cool, decorate the cookie with various candies into a playful snowman.
Place chocolate sprinkles as eyebrows, blue or green dots for eyes, an orange sprinkle placed vertically for the nose and several red nonpareils for a mouth. Cut a gumdrop in half, slice a sliver from each half lengthwise to form a crescent shaped brim to the hat. Top off the hat with a gumdrop half and reserve the other half for another snowman. You may have to flatten the gumdrop a bit to fit the snowman.
After the snowman has completely dried, tie a red string licorice around the neck as a scarf. Using a rolling pin to flatten the licorice will make it easier for the scarf to stay tied and look natural.