Last month Microsoft added live TV streaming to the Xbox One SmartGlass app for Windows so you can stream live TV from the Xbox One’s new digital TV tuner (see my review of the tuner here). Microsoft have just added live TV streaming to the Windows Phone version of the app.
The feature works just as it does on the Windows version, you can browse the OneGuide EPG and tapping on a show that is currently transmitting will stream it to the phone. Obviously you will need the Xbox One Digital TV Tuner but the feature works pretty well. What is really missing is TV recording and playback and hopefully Microsoft can add that feature at some point in the future.
You can find the update from the Windows Phone store.