This would be a big technical challenge, and Microsoft probably won't allow the required level of access to make it work. However, could you reach out to them and at least discuss it? It would be a huge competitive advantage for Norton if you were able to register an Xbox One gamertag, track daily usage time, and (ideally) display a message upon time expiration. It would be unlikely that they'd grant external access to modify time restrictions, but that would be the best case.
The most reasonable approach would be to have Microsoft implement a method of registering a "time management provider" like Norton on a Microsoft Account, and being able to turn it on or off from there, leaving the ultimate control in their court.