Lightly pound chicken breast halves until uniform thickness.
GRILL over medium-hot fire until opaque throughout, about 8 minutes per side.
COMBINE spice rub ingredients; RUB over chicken.
Meanwhile, STIR together the ingredients for the oil mixture.
REMOVE chicken to serving platter; SPOON oil mixture over pieces.
Per Serving (excluding unknown items): 132 Calories; 14g Fat (91.7% calories from fat); 1g Protein; 2g Carbohydrate; trace Dietary Fiber; 1mg Cholesterol; 535mg Sodium. Exchanges: 0 Grain(Starch); 0 Lean Meat; 0 Vegetable; 0 Fruit; 3 Fat.