In a small bowl whisk together lime juice, garlic, cumin, salt, and pepper; transfer to a self-sealing plastic bag. Add chops; seal bag and refrigerate for 2 to 4 hours.
Prepare a medium-hot fire with charcoal or preheat gas to medium high. Lightly oil grill grate.
Remove chops from marinade (do not pat dry), discarding marinade from the bag. Grill chops directly over heat, turning once, until internal temperature of pork on a thermometer reads between 145 degrees F. (medium rare) and 160 degrees F. (medium), followed by a 3-minute rest, about 8 to 11 minutes.