Preparation Melt butter in large skillet over medium heat. Add leeks and apple. Cover; cook until tender, stirring occasionally, about 8 minutes. Mix in caraway and allspice; season with coarse salt and pepper. Add hard cider; bring to boil. Reduce heat to medium-low. Simmer, uncovered, until most of liquid is cooked away, about 16 minutes. Arrange buns or rolls on plates. Spread each with mustard, then top with grilled hot dogs. Sprinkle dogs with cheese and top with leek mixture.
Preparation Melt butter in large skillet over medium heat. Add leeks and apple. Cover; cook until tender, stirring occasionally, about 8 minutes. Mix in caraway and allspice; season with coarse salt and pepper. Add hard cider; bring to boil. Reduce heat to medium-low. Simmer, uncovered, until most of liquid is cooked away, about 16 minutes. Arrange buns or rolls on plates. Spread each with mustard, then top with grilled hot dogs. Sprinkle dogs with cheese and top with leek mixture.