In a small bowl, combine the garlic, Worcestershire sauce, bitters, honey, vinegar, anchovy paste, oregano, and 1/3 cup water.
Pat the lamb chops dry and season lightly with salt and pepper. Heat the oil in a heavy-duty 12-inch skillet over medium-high heat until shimmering hot. In two batches, cook the lamb chops, flipping once, until browned and medium rare (130°F), 4 to 6 minutes total per batch. Transfer to a platter and tent with foil to keep warm.
Pour off the fat from the skillet, add the Worcestershire mixture, and bring to a boil over medium-high heat. Cook, stirring, until the mixture thickens into a light glaze, about 10 minutes. Return the chops to the pan and cook, turning them to coat with the glaze, about 1 minute more. Serve the chops with any remaining glaze poured over them.