Pat the 6-8 lamb rib chops dry with a paper towel and rub salt and pepper onto both sides. Let the lamb sit at room temperature for 30 minutes.
Heat a cast iron skillet or heavy pan until very hot. Once it’s hot, add 1 Tbsp olive oil.
Add the lamb chops to the pan and cook for 3-4 minutes without moving them. Flip and cook for another 3-4 minutes.
Reduce the heat to medium-low. Add ¼ cup melted salted butter, 3 finely chopped garlic cloves, 1 Tbsp fresh thyme, and 1 Tbsp chopped fresh rosemary to the pan. Stir the ingredients around the lamb, then scoop the butter and herbs onto the lamb as it continues to cook.
Use a meat thermometer to poke into the center. The lamb is done when the internal temperature reaches 145°F for medium-rare, 150°F for medium, 170°F for medium-well.
Place the lamb on a serving plate. Loosely tent with foil and let it rest for 10 minutes before slicing and serving.