Prepare cornbread mix according to package directions; spoon batter into a lightly greased 13- x 9-inch pan.
Bake at 400° for 15 minutes or until golden. Cool.
Cut into 6 squares, spread 1 side of each square with mayonnaise; place on a baking sheet. Top each square with 2 cheese slices.
Broil 5 1/2 inches from heat 5 minutes or until cheese melts. Top evenly with sliced ham and, if desired, lettuce. Top each sandwich with 2 tablespoons Cranberry-and-Apricot Chutney.