Combine all of the ingredients except the chicken breast in a 1 gallon freezer bag.
Close the bag and squish the marinade around to mix. Add the chicken breasts and massage the marinade into the meat until evenly coated.
Seal the bag and place it in a box in the refrigerator (the bowl protects against leakage); marinade for at least 6 hours or overnight.
Clean the grill and preheat to high. Lightly dip a wad of paper towels in vegetable oil and using tongs, carefully rub over the grates until glossy and coated (or use non flammable cooking spray).
Place the chicken breasts on the grill and spoon the remaining marinade on top of them. Grill, covered, for 2 - 3 minutes per side (turning only once)
Serve immediately with lime wedges