Consider this to be your dismaying PSA of the day: Apparently, if you're a Kindle owner with a magazine subscription, and you decide to stop subscribing, the back issues you previously downloaded are also lost—for good.
That's right—there is no way to retrieve what you already paid for and supposedly, already own. To top it all off, there is also no existing way to transfer old issues of your subscription to a new device before you cancel.
So it looks like if you chose a digital subscription for The New Yorker over its print version, you're pretty much stuck continuing the service—unless, of course, you're willing to lose your entire collection; both future and past issues. [Thanks, Gaby!]
UPDATE: Amazon has contacted us with this clarification.
If issues of a subscription were downloaded to your device, 7 of the back issues (the number that is kept on all devices automatically, then moved to the archive to save room) should still be on the device. They were not deleted from the device. You can find them in the Home view in an item called "Periodicals: Back Issues."
For an active subscription, before a back issue is moved to the archive to save room, the customer may want to keep a particular issue. From the device she can select Menu>Keep this Issue to keep it indefinitely.