Prepare the mint glaze by whisking together the wine, vinegar, mint, honey, and mustard in a bowl. Season the mixture with salt and pepper to taste. Using a pastry brush, generously coat the lamb chops with the glaze on both sides, then set them aside to marinate for about 30 minutes at room temperature, allowing the flavors to penetrate the meat.
Preheat your grill or broiler to high heat. Position the marinated chops on the grill grates or on a broiler pan about 3 inches (7cm) from the heat source.
Cook the chops for 4–6 minutes on each side, depending on their thickness and your preferred level of doneness. Brush them frequently with the remaining glaze during cooking to build up layers of flavor and create a beautiful caramelized exterior.
Once cooked to your liking (the internal temperature should reach 145°F for medium-rare or 160°F for medium), remove the chops from the heat and let them rest for a few minutes before serving. This allows the juices to redistribute throughout the meat for maximum tenderness and flavor.