Android Central member GMC MaXx writes in our Moto X forums (via the Android Central app, no less):
Not pushing a button to see the time doesn't seem like a big deal, but holy cow, it's awesome!
On my Galaxy Nexus I would push the button countless times a day just to see if I missed any notifications or to check the time. Now when I pull the Moto X out of my pocket the time and any notifications are already shown without hitting a button to turn on the screen. And I don't have to hit a button to turn the screen off before going back in the pocket.
Also, when the phone is sitting on my desk I just give it a nudge and the screen shows me the time. Its such a minor thing, but makes a world of difference in the awesomeness of the Moto X!