To smoke your own chicken on a barbecue grill, soak 3 cups of wood chips in enough water to cover for at least 1 hour. Brush 4 skinless, boneless chicken breasts lightly with olive oil and sprinkle with salt and pepper. Arrange medium-hot coals around a drip pan. Test for medium heat above drip pan. Add 1 inch of water to dip pan. Drain wood chips. Sprinkle wood chips over hot coals. Place rack on grill. Place chicken breasts on grill rack above the drip pan. Close grill hood. Grill for 15 to 18 minutes or until chicken is tender and no longer pink.