Preheat oven to 380 degrees F. Lightly flour chops and season with salt, pepper, mustard, and sugar. Heat clarified butter in large pan over high heat. Add chops and brown on each side. Remove to a small baking dish.
Add 1 tablespoon flour to butter in pan and stir to form a brown roux. Add cider and whisk into a smooth sauce; cook 2 more minutes. Pour sauce over pork and cover with apple slices. Roast for 1 1/2 hours.