Preheat the oven to 450 degrees.
Heat the oil in a skillet over high heat until hot but not smoking. Add the monkfish, shaking the pan as you add the fish to prevent sticking. Sear the fish on one side until golden brown, about 2 to 3 minutes. Transfer to the oven and roast until opaque and firm to the touch, about 8 minutes.
Transfer the fish to a warm plate and set aside. Place the skillet over medium heat and add the wine or vermouth and 1/4 cup water, scraping the browned bits from the pan. Add the Chunky Cipolline Tomato Compote to the skillet and cook until heated through.
Season to taste with salt and pepper. Spoon the compote among 4 dinner plates, arrange a piece of the monkfish over the compote, and serve.