Each customer can have multiple addresses for billing and shipping stored in their profile. Here you can see a list of all available addresses of the current customer. You can add a new address by clicking the New address button, Edit () or Delete () an existing item in the list and you can also Clone an address if you click the Other actions icon on the selected address line. After clicking the icon in the header of the Actions column, a context menu is displayed, offering options for export of listed data to various types of files.
Further information about customers can be found in E-commerce Guide -> Managing your store -> Customers.