Rinse albacore with cold water; pat dry with paper towels. Cut albacore into 1 1/2 inch cubes; set aside. Combine remaining ingredients except lime rind. Reserve 2 tablespoons marinade. Pour remainder over albacore and marinate in refrigerator a minimum of 30 minutes, turning once to recoat albacore. Divide albacore into 4 equal servings, discarding used marinade. Using metal or bamboo skewers, make kabobs. Place on well-greased grate 5-6 inches from hot briquettes. Cook 3-4 minutes, turning once and basting frequently with reserved marinade. Albacore should be pink in center when removed from heat. Sprinkle with lime rind just before serving.
Note: Albacore may be broiled on a well-greased broiler pan 5-6 inches from source of heat. Follow grilling times and directions.