Heat 2 tablespoons butter in a large, nonstick skillet over medium-high heat. Add apples and thyme, and season with nutmeg. Cook 5 minutes, until apples are tender and cooked down.
Spread apple cider honey mustard on each piece of bread. Build sandwiches with cheese and bacon or bacon spread.
In a shallow dish, whisk together eggs, milk, salt and pepper.
Melt butter on a griddle or in a large skillet over medium heat. Turn sandwiches in egg and add to griddle. Cook sandwiches 3-4 minutes on each side, until deep golden.
Serve with dippers alongside.