This is strictly rumor right now. That said, rumors such as this one have existed for quite some time now. We’re always hearing about a bezel-free iPhone. While it may be possible, it doesn’t sound useful.
We may be wrong, but it seems like it would be easy to accidentally touch the screen and do something you didn’t mean to do, be it turn a page in the Kindle app, scroll up or down a page, whatever. It would also be hard to find a nice, protective case, because anything ideal would cover a small portion of the screen.
Still, we don’t know what’s going on behind the scenes. Perhaps Apple is testing out some designs. Maybe there is something we are overlooking. Let’s just hope it looks better than the concept renders we’ve seen all around the internet.