I'd love to see a feature that asks Chromecast users if they're still watching after 3 episodes or so. (Like Netflix, Hulu, etc.)
Another timeout that would be helpful is if the app is open on the Chromecast for 10 or 15 minutes without content playing, it should close itself. Most other Chromecast apps seem to have some sort of similar timeout.
My Chromecast users sometimes disconnect from their Chromecast without closing the client app, or they turn their TV off without stopping videos. This means they can end up streaming through hundreds of episodes before the playlist runs out. It would help prevent bandwidth/CPU waste.