Coat cold cooking grate of grill with cooking spray, and place on grill. Preheat grill to 350 to 400 (medium-high) heat. Grill chicken, covered with grill lid, 5 to 10 minutes on each side or until browned. Reduce grill temperature to 250 to 300 (low) heat; grill chicken, covered with grill lid, 20 to 30 minutes.
Meanwhile, prepare Spicy Honey-Lime Barbecue Sauce. Reserve 1 cup sauce.
Brush chicken with remaining barbecue sauce. Cover with grill lid, and grill 10 more minutes or until done.