1For Cinnamon-Sugar Rim, in small bowl, mix sugar and ground cinnamon. Pour onto plate; set aside.
2In 3-quart saucepan, place cloves, cinnamon sticks and star anise. Cook over medium heat 1 minute or until lightly toasted. Add apple cider and orange juice; simmer 10 minutes (do not boil). Cool completely.
3Meanwhile, lightly moisten rim of each of 4 mugs or glasses. Invert mugs into cinnamon-sugar; twist until rim has been evenly coated.
4Add rum to cooled cider; strain to remove spices. Place ice in mugs; ladle cider over ice.