Combine Ground Beef, chutney and jerk seasoning in large bowl, mixing lightly but thoroughly. Lightly shape into four 1/2-inch thick patties.
Place patties in center of grid over medium, ash-covered coals; arrange pineapple slices around patties. Grill, uncovered, 8 to 10 minutes (over medium heat on preheated gas grill, 7 to 9 minutes) until instant-read thermometer inserted horizontally into center registers 160°F, turning occasionally. Grill pineapple, uncovered, 8 minutes or until heated through. (Gas grilling times remain the same.) About 2 minutes before burgers are done, place rolls, cut sides down, on grid. Grill until lightly toasted. During last minute of grilling, top each burger with cheese.
Place 1 pineapple slice and burger patty on bottom of each bun. Close sandwiches.
Nutrition information per serving: 529 Calories; 184.5 kcal Calories from fat; 20.5 g Total Fat; 9.1 g Saturated Fat; 0.3 g Trans Fat; 1.7 g Polyunsaturated Fat; 6.3 g Monounsaturated Fat; 112 mg Cholesterol; 761 mg Sodium; 49 g Total Carbohydrate; 1.7 g Dietary Fiber; 10.9 g Total Sugars; 39 g Protein; 0 g Added Sugars; 280.2 mg Calcium; 5.3 mg Iron; 546 mg Potassium; 0.3 mcg Vitamin D; 0.5 mg Riboflavin; 9 mg NE Niacin; 0.5 mg Vitamin B6; 3 mcg Vitamin B12; 413 mg Phosphorus; 8.1 mg Zinc; 51.2 mcg Selenium; 111.5 mg Choline;