In small saucepan, heat vinegar to boiling over medium-high heat and cook until reduced by half - about 5 minutes. Stir in molasses and pepper. Remove saucepan from heat and set aside. Marinate chicken in this marinade.

In small bowl, combine basil, oil, garlic and salt. Rub both sides of chicken with basil mix.

Place chicken on grill over medium and cook about 8 minutes. Baste with marinade. Turn over and grilled about 6 mintues until done.