Pat chicken pieces dry. In a small bowl, mix spice rub ingredients; reserve 1 tablespoon spice rub for sauce. Rub remaining spice rub on all sides of chicken.
Grill chicken, uncovered, over medium heat 20 minutes, skin side down. Meanwhile, combine all sauce ingredients; stir in reserved spice rub. Turn chicken; grill 20-30 minutes longer or until juices run clear, basting frequently with sauce. Yield: 8 servings.