Heat the oven to 375 F. Lightly coat a baking sheet or baking dish with cooking spray or olive oil.
In a medium bowl, combine the chicken breasts, vinegar, brown sugar, oil, paprika, thyme, salt and mustard. Using tongs, coat the chicken. Marinate the chicken breasts for at least 20 minutes in the refrigerator.
Place the marinaded chicken breasts on the baking sheet and bake for 15 minutes or until chicken reaches an internal temperature of 165 F. Sprinkle each chicken breast with 1 tablespoon cheese and serve.