The jailbreak community focuses mainly on iOS 10 and more particularly on iOS 10.2 these days. We must say that the jailbreak, although in beta to this day, took time to arrive. As a reminder, iOS 10 Jailbreak is available since last September.
But it's not only iOS that takes advantage of the jailbreak, Apple TV has known it for a while. The situation has been quiet for a while now, but it could evolve. NitoTV, which essentially handles the jailbreak of Apple TV, has posted a message on its Tumblr page on which it suggests that a jailbreak for tvOS 10.1 is possible. The jailbreak for iOS 10.2 could actually be adapted to the Apple TV, but it takes work.
The latest update of the Apple TV 4th generation is tvOS 10.1.1 which is responsible for correcting bugs. NitoTV recommends users interested in a jailbreak to stay on tvOS 10.1 if they are still on or restore to tvOS 10.1. It is still possible to date, Apple still signs the firmware ( available here ). Restoration must be done with iTunes.
No date for a jailbreak of tvOS 10.1 for now, but the project is in progress. Hope for interested users that it will be a matter of days. This would be the first jailbreak for tvOS 10 and so the Apple TV 4th generation.