Bring cranberries and tangerine juice to a boil in a medium saucepan over medium-high heat; boil 5 minutes. Drain cranberries, reserving juice, and set aside. Return juice to saucepan, and boil 5 minutes.
Process juice, vinegar, and next 4 ingredients in a blender until blended. With blender running, add oil in a slow, steady stream. Stir in cranberries.