PREHEAT grill to medium-high heat. Sprinkle chicken evenly with salt and pepper; brush with oil. Remove 1/4 cup of the barbecue sauce; set aside for later use.
GRILL chicken 3 min.; turn over. Brush with some of the remaining barbecue sauce. Grill an additional 5 to 6 min. or until chicken is cooked through (170°F), turning occasionally and brushing with the remaining barbecue sauce.
CUT chicken into strips. Serve with the reserved barbecue sauce for dipping.