After about six or seven requests, the IDs continue to generate at the rate of one every twenty minutes and are persistent even if no applications are running. This really leaves the door open for someone to attempt to exploit the issue and obtain access to many Apple IDs.
Electronista is reporting that the issue has occurred both prior to and after iOS 5.0.1. Currently, the only way affected users have been able to avoid the issue, is to not use iCloud to restore the device, which really is more of a workaround than a solution.
Electronista has posted a video demonstrating the bug in action. Have any of you experienced this when restoring your device from iCloud?
source: Apple Support Communities via Electronista