This newest beta build adds Auto Play. With the Auto Play setting on, Channels will automatically play the next recording of the show that you started watching. It will show you a preview of which show is coming on next. On tvOS you can click Menu on your remote to cancel the auto playback when the card appears, or you can click it to immediately play the next episode.
With Auto Play off, Channels will still show you which episode is next, but it will not auto play it. You will have to click the preview to manually play that next episode.
This is available in both iOS and tvOS.
Please report back any oddities that you see while using this feature or during any other watch sessions.