In medium saucepan, over medium-high heat, add all cranberry and cherry sauce ingredients and stir to combine. Bring mixture to boil.
Turn down heat to low and continue to cook, stirring occasionally until sauce thickens, about 30-35 minutes.
Preheat grill to 425F.
Stack your bread slices so you have 6 stacks with 2 slices of bread.
Spread cranberry sauce evenly among the stacks, place the turkey slices evenly among the stacks, then place the cheese slices on top of the turkey. Drizzle with honey mustard.
Slide the bottom slice of bread out from under the other slice and place on top to complete the sandwich.
Place 2 sandwiches on the preheated grill. Grill for 5-7 minutes, until the cheese starts to melt. Repeat with remaining sandwiches.
Cut in half diagonally and serve warm. If desired, your can dip your sandwich in extra cranberry sauce or take cooled cranberry sauce and mix evenly with mayonnaise.