To a bowl, whisk all ingredients except lemon juice. Whisk lemon juice, to taste.
To a skillet, add olive oil, and heat on medium-high. Coat chicken breasts in jerk spice. Reduce temperature to medium-low, and grill until chicken is no longer pink (about 6 minutes each side).
Remove chicken from skillet, and let sit for 5 minutes.
To a bowl, mix 1 generous tablespoon of Caesar dressing with 50/50 mix. Top with sliced chicken, and extra Parmesan cheese.