In a shallow nonmetallic dish combine lime peel, lime juice, tequila, cooking oil, orange liqueur or orange peel, garlic, salt, and pepper. Add chicken to marinade, turning to coat. Cover and chill about 1 hour.
Meanwhile, for tomato salsa, in a small bowl combine chunky salsa, chopped tomato, green onions, and snipped cilantro; set aside.
Drain chicken, reserving marinade. Stir honey into marinade. Grill chicken on an uncovered grill directly over medium coals for 5 minutes. Turn chicken and brush with marinade; grill for 7 to 10 minutes more or until chicken is tender and cooked through. (Or, place chicken on the unheated rack of a broiler pan. Broil 5 to 6 inches from the heat for 10 to 12 minutes, turning and brushing with marinade once.) Serve with tomato salsa. Makes 6 servings.