Rub the chicken wings with lime, rinse and pat dry. Season the chicken wings with salt.
Combine jerk marinade, oil and rum in large bowl. Add the chicken and rub Jerk mixture on chicken thoroughly. Place chicken in refrigerator and let marinade for at least 4 hours, preferably overnight for better flavor.
Preheat oven to 350 degrees F or heat grill until coals are hot and white. Roast or grill the chicken slowly until chicken is done and juices run clear, about 35 to 45 minutes.