Stir together mango, lime juice, brown sugar, red pepper, garlic powder, cinnamon and allspice in a medium bowl; set aside.
Rinse chicken and pat dry. Sprinkle on both sides with jerk seasoning and let stand for 10 minutes. Cook on a well oiled grill over medium heat for about 5 to 7 minutes on each side, or until chicken is cooked through. Remove from grill and squeeze lime halves over chicken.