Take lamb chops out of fridge and let it sit at room temperature for 25 to 30 minutes. Meanwhile, measure and prepare your other ingredients and set aside.
Heat cast iron skillet or large sauté pan on medium-high heat until it just starts to smoke, for about 3 to 4 minutes.
Season both sides of the lamb chops with salt, pepper, thyme, and rosemary.
Add olive oil to pan then place lamb chops in pan leaving space between each lamb chop so they brown. If using, cover the pan with the splatter screen. Sear the lamb chops for 8 minutes and DO NOT TOUCH the lamb chops before the 8-minute mark.
After 8 minutes, flip the lamb chops and return the splatter screen to the pan. Cook for another 2 minutes (medium) to 5 minutes (medium well/well) to your preferred doneness. For medium rare chops, cut the first sear time from 8 minutes to 5 minutes. (If you have the patience, sear the sides of the chops for a minute per side after the first 2 minutes.) Set cooked lamb chops aside on a plate to rest for at least 10 minutes before cutting.
Lower the heat of your stove to low medium heat. Add butter, pinch of salt, and sliced garlic and cook for 1 to 3 minutes until the garlic starts to get crispy, stirring frequently with a wooden spoon so the garlic doesn't burn.
Serve 2 to 3 lamb chops per person. Pairs well with roasted vegetables or a side salad and a starchy side (rice, couscous, potatoes, etc.).