this sounds more like an idea looking for a purpose. Perhaps the extremely paranoid might get some comfort from feeling that they are never out of touch with the world. Perhaps some folks think that being constantly connected displays some greater importance to their being. Personally, I like to leave the house and go to the woods and hiking trails and spend hours away from any kind of communication device. I've never felt an oncoming panic attack from doing this. Good luck with your venture anyway if that's what you have in mind.
I just found out that many tech factories don't allow their workers to have their smartphones on them during their shift. It makes sense of course, I just never thought about it. They say it's for espionage reasons, but obviously it's for productivity/distractions too. Well, I think in today's day and age it is unecessarily cruel to deny people access to real-time, potentially life-changing information just because they own a pocket supercomputer. There's got to be a good tech-based compromise. No doubt geo-fencing and firmware/app based compromises will be presented as solutions to this issue, but I think that an old-fashioned physical locker is the most secure way and easiest to manage. I envision a locker (in any number of shapes and sizes) that, like a sophisticated vending machine, mechanically exchanges a fully-charged, inexpensive smartband with the user during the "period of denial". The smartwatch or smartband can be set to receive (via RF) whatever information the administrator sees as necessary (missed calls, texts). Numerous automated authentication schemes can make the process automatic, and if a smartwatch gets lost or broken, the machine at least knows who was at fault. It's admittedly a bizarre concept, but who knows, we might have to go there someday. The Military, Government, Concert Venues, etc, might also benefit from this. Here's a conceptual sketch:
https://drive.google.com/file/d/0B6VIwvkoUxnXQXcySEpiTkhfSW8/view?usp=sharing

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic