Heat griddle or 12- inch nonstick skillet over medium heat.
Spread butter on one side of each bread slice. Spread a heaping tablespoon of the chutney on unbuttered side of 4 of the bread slices. Top each with one-fourth of the cheese and ham. Top with remaining bread slices, buttered side up.
Place sandwiches in skillet. Cook uncovered about 3 minutes or until cheese is slightly melted and bread is browned. Turn sandwiches over; cook 3 minutes longer or cheese is melted and sandwich is golden brown.