Place chicken, breast-side down, on barbecue grate over lit area. Grill 15 min.; turn and place over unlit area. Cover; grill 25 to 30 min. or until chicken is done (170ºF), turning occasionally and brushing with remaining barbecue mixture for the last 15 min. Remove from barbecue. Let stand 15 min. before cutting into pieces. Serve with reserved sauce.