Preheat oven to 425ºF. Heat the neutral cooking oil over high heat in a wide, ovenproof skillet until very hot.
Add the lamb chops and cook without moving for 3-4 minutes until very well seared. Flip and cook an additional 3-4 minutes. Flip the lamb chops on to their fat caps and sear for 1-2 minutes until the fat is browned. Transfer the lamb chops to a plate and drain off all but 1 tablespoon fat in the skillet.
Start the Broth:
Reduce heat on the skillet to medium. Add the onion to the skillet and cook for 3-4 minutes until it begins to soften. Add the butter and cook an additional 3-4 minutes. Add the cherry tomatoes and cook for 3 minutes. Add the garlic and cook for 1 minute until fragrant. Season with salt, pepper, and crushed red pepper.
Add the butter beans and toss gently to combine.
Pour in the chicken stock and scrape up any browned bits stuck to the bottom. Bring to a boil for 5-6 minutes until reduced slightly. Taste and season again to your preferences.
Stir in half the fresh basil and turn off the heat.
Roast the Lamb:
Nestle the lamb chops into the broth and transfer to the oven for 10-13 minutes or until the lamb reaches your desired internal temperature – 125ºF for rare and 135ºF for medium-rare. Remove from the oven.
To Serve:
Spoon the broth into shallow bowls and place a lamb chop on top. Garnish with more sliced basil. Enjoy!