Stir together cranberries, spices, and water in a large saucepan. Bring to boiling; reduce heat. Cook, uncovered, over medium heat for 3 to 5 minutes or just until cranberries begin to pop.
Remove from heat. Stir in honey; add tea bags. Strain cranberry mixture through a double thickness of 100-percent-cotton cheesecloth. Discard solids. Return strained mixture to the saucepan. Add apple juice; heat through.