At least 1 day in advance: Make cookie and ice cream stars. Roll out dough just under 1/8 in. thick. Cut cookies using 2nd largest star cutter; bake and cool. Using serrated knife, cut ice cream into 1/2 in. thick horizontal slices. Cut stars using 2nd largest cutter. Sandwich ice cream stars between two cookies. Insert cookie stick and freeze a few hours until very solid.