Start by preparing the marinade. Combine olive oil, lemon juice, thyme, garlic, salt, and pepper in a mixing bowl. Stir until everything is well-blended. Lay the lamb chops on a plate and pour the marinade evenly over them, ensuring all sides are coated. Leave the meat to soak up the flavors for at least 30 minutes at room temperature.
Heat olive oil in your skillet over medium heat until shimmering. Gently shake off any excess marinade from the lamb chops and place them in the hot pan. Sear each side for 4 minutes to lock in the juices and create a golden crust. Remove the chops from the skillet and set them aside.
Using the same skillet, add wine and minced garlic. Bring the mixture to a boil to deglaze the pan, allowing the wine to reduce by half. Stir in Dijon mustard and fresh thyme, whisking to incorporate everything. For a creamier sauce, add heavy cream and mix thoroughly.
Return the seared lamb chops to the skillet, spooning the sauce over each piece. Lower the heat and simmer for 2-3 minutes, letting the flavors meld together. Make sure the lamb is cooked to your preferred doneness before serving.