When the meat is removed from the pan, it should rest before serving. Many have learned to use aluminum foil for this purpose, but it is a bad idea as the foil does not allow the moisture in the meat to evaporate, causing it to cook further during resting.
The dry layer that forms on the meat after the long aging period can be compared to American Beef Jerky, which is air-dried beef that is then cut very thin. This "layer" is full of flavor and can be used in, for example, a sauce for the meat. If you don't use it right away, it can be frozen and used in broths and sauces later.