In a bowl, mix together lime juice, brown sugar, oil, mustard, lime peel, garlic, salt and hot pepper sauce. In a shallow dish, place chicken in a single layer. Pour lime mixture over chicken, turning to coat all sides.

Cover and refrigerate for 4 hours or overnight (Turn several times.). Place chicken on prepared grill about 8 inches from the heat. Cook, turning every 5-8 minutes, about 45 minutes. Brush with sauce and cook 30 minutes longer or until chicken is fork tender.

Makes 4 servings.