Place a grill pan over medium-high heat or preheat a gas or charcoal grill
In the bowl of a food processor, combine the balsamic vinegar, garlic, and honey. Pulse until blended. With the machine running, slowly pour in the vegetable oil and process until the mixture is smooth and forms a thick sauce. Season with salt and pepper
Season the lamb chops with salt and pepper. Drizzle with the olive oi and sprinkle with the rosemary. Grill the lamb chops for 2 to 3 minutes on each side for medium-rare
Arrange the lamb chop on a platter. Spoon the sauce over the top or serve it on the side