Spread one side of each waffle with butter. Place ham slice on unbuttered side of 4 waffles. Top each with one fourth of cooked egg and 1 tsp cheese. Top with remaining 4 waffles, buttered side up.
Heat medium skillet over medium heat. Pressing with back of spatula, cook sandwiches 3 to 4 minutes per side or until cheese melts and waffles are golden brown.