Depends how the tech works - is it something portable, that can be used on spacecraft or even carried by people? Or is it something that requires a big, powerful relay station?
Relays wouldn't really be practical - a lightyear is about 63,000 AU, and a parsec is 3.26 lightyears, so you'd need about 200 stations at 1000 AU separation (which have to get to that distance somehow) just to cover a J1 distance. It'd cost a lot of money to build and maintain those.
If you're in a system though, and it's at least ship-portable, then I guess you could use it to get out a warning that you're being attacked by pirates, or otherwise in distress. Or you could quickly report back to the mainworld if you're investigating something in the outer edge of the system. But it won't be much use in terms of getting help to you - it'd still take days (if under M-drive power) or a week (if jumping) for it to arrive.