Season the lamb chops with salt and pepper. Heat the oil in a large skillet over medium-high heat. Sear the lamb chops until golden brown and medium rare (130 degrees F), about 3 - 5 minutes each side, working in batches if needed.

When chops are done, transfer to a serving platter and cover with aluminum foil to keep warm.

Reduce heat to medium-low and de-glaze the skillet by carefully pouring in the broth and wine, scraping up any browned bits. Simmer until broth and wine have reduced by half.

Stir in the Dijon and lemon juice and simmer one minute more. Add the butter and stir until melted. Remove from heat and stir in the chives and rosemary. Season to taste with salt and pepper.

Pour sauce over chops and serve.