Apple has released iOS 11.2 beta 2 for download for iPhone X users.
iOS 11.2 beta 2 now available, including iPhone X
— Guilherme Rambo (@_inside) November 3, 2017
Earlier today, new iPhone X users who were on iOS 11.2 beta discovered there was no way to restore from an iCloud backup on their new device, since iOS 11.2 beta was not available yet.
This release now makes it possible for developers with iPhone X to update over-the-air to iOS 11.2 beta 2, then restore from their previous backup. The public beta should be out shortly as well.