In 4-quart saucepan with lid, combine all chutney ingredients. Cover.
Over medium high heat, bring mixture to a boil (7 to 10 minutes); reduce heat to low. Continue cooking at low until mixture is thick, and apples are tender and soft (35 to 40 minutes).
Serve with apple slices, Brie or Cheddar cheese, or serve on crackers. Refrigerate leftovers.