While the Saltimbocca are crisping in the oven, prepare the pan sauce.
Melt the butter in a medium sauté pan over medium heat. When the milk solids become separated and heavy enough to sink, and the butter has almost no foam left, allow the color to brown slightly, being careful not to leave the stove and leaving to burn. You are looking for a nutty aroma and golden brown color.
Using the remaining fresh sage leaves, add them to the browned butter. You may add the leaves whole or torn. Allow the leaves to foam and crisp up, about 3 minutes.
** NOTE - this recipe specifies 2 tablespoons, but I have found adding 3 to 4 tablespoons and allowing the alcohol to burn off offers a very rich, almost buttery flavor to the finishes dish.
Remove the pan completely from the heat before adding the Amontillado sherry. Whisk into the sage butter mixture and return to low heat to allow the alcohol to burn off.
When Saltimbocca have been removed from the oven, pour the pan sauce over the Saltimbocca. You can do this in the cast iron or directly on the serving platter. DO NOT SCRAPE THE FOND FROM THE SAUCE PAN.
Place the still hot sauce pan back atop the heat and increase to medium high. Immediately add the very well dried scallops to the pan. DO NOT MOVE THEM AROUND IN THE PAN. 2 to 3 minutes per side will allow a brilliant crust to form on the scallops largely due in part to the scorching hot pan and the leftover Amontillado fond that is continuing to caramelize.
Plate the scallops and the Saltimbocca together, spooning drips of the pan sauce atop both. Drizzle with honey if desired and salt and pepper to taste.
Serve with a full-bodied oaky red, or alternatively, pair with a very green and crisp metal casked Chardonnay.