To make the marinade: In a medium bowl, whisk all ingredients except the chicken.
Place the chicken breasts in a large, resealable bag, and pour in the marinade. Press the air out of the bag and seal tightly. Turn it several times to distribute the marinade and place it in a bowl and refrigerate for 3 - 4 hours.
Remove the chicken from the bag and reserve the marinade. Pour the marinade in a small saucepan, bring to a boil, and boil for 1 full minute.
Grill the chicken, skin side down first, and turning (once) and basting with the marinade, over direct medium heat until the meat is firm to the touch and no longer pink in the center, or until it has reached an internal temperature of 165 degrees F. This should take a total of approximately 8 - 12 minutes.