In a small bowl, whisk together the extra virgin olive oil, minced garlic, rosemary, thyme, lemon juice, sea salt, and black pepper.
Place the lamb rib chops in a shallow dish and pour the marinade over them, ensuring each chop is well-coated on all sides.
Let the lamb marinate at room temperature for 20 minutes to allow the aromatic herb flavors to penetrate the meat.
Preheat your grill or a heavy cast-iron grill pan over medium-high heat until it is very hot and lightly smoking.
Place the lamb chops on the grill and cook for 3 to 4 minutes per side for medium-rare, or until your desired level of doneness is reached.
While the lamb cooks, toss the asparagus spears in any remaining marinade and grill them for 4 to 5 minutes until tender and slightly charred.
Remove the lamb from the heat and let it rest for 5 minutes before serving to ensure the juices redistribute for a moist finish.