I use iOS and experience truncation only in previews. Long-pressing the notification (probably force-touch on medium-old devices, and...I don't know what on older ones) allows me to see the whole thing. That being said, my list usually contains at most a few devices (I don't know what would happen with extremely long text), and again, the admin UI is really a necessity for troubleshooting most of these. You can use the "View current report" page in the app to see more or less the same thing. It even has clickable links to the device pages. You can bookmark this particular page to make it easier to get to (this page even, not the app itself, which would also work).
What you see where probably depends on your OS, as mentioned above.
