In a small bowl, whisk together half the olive oil, minced rosemary, minced thyme, minced garlic, sea salt, and black pepper.
Rub the herb mixture evenly over both sides of the lamb loin chops and let them marinate at room temperature for 15 minutes.
Prepare the mint sauce by finely chopping the fresh mint leaves and whisking them with the apple cider vinegar and raw honey in a small ramekin.
Preheat a grill or cast-iron grill pan over medium-high heat until it is very hot.
Toss the asparagus spears with the remaining olive oil and a pinch of salt until evenly coated.
Place the lamb chops on the hot grill and cook for 4 to 5 minutes per side for medium-rare, or until they reach your desired level of doneness.
Add the asparagus to the grill during the last 4 minutes of cooking, turning occasionally until they are tender and lightly charred.
Remove the lamb from the grill and let it rest on a cutting board for 5 minutes to ensure the juices redistribute for a tender bite.
Serve the grilled lamb chops alongside the charred asparagus and drizzle the prepared fresh mint sauce over the meat before serving.