Place chicken in a self-sealing plastic bag set in a shallow dish. For marinade, stir together the wine or sherry, oyster sauce, lime peel, lime juice, chili paste, green onion, and garlic. Pour over chicken. Close bag; marinate in the refrigerator for at least 6 hours or up to 8 hours, turning bag occasionally.
Drain chicken, reserving 1 cup of the marinade; discard remaining marinade. Pour reserved marinade into a small saucepan. Bring to boiling. Cook, uncovered, for 5 minutes or until reduced to 1/2 cup. Remove from heat; stir in honey.
For a charcoal grill, place chicken on the grill rack directly over medium coals. Grill, uncovered, for 12 to 15 minutes or until chicken is tender and cooked through, turning once. Brush with warm marinade during the last 5 minutes of grilling.
For a gas grill, preheat grill. Reduce heat to medium. Place chicken on the grill rack; cover and grill as directed in step 3.
To serve, slice chicken breasts diagonally. Makes 4 servings.