Well, actually...
Knowing that the short bursts are merging neutron stars, or a black hole eating a neutron star, and gaining an estimate of the frequency of such events, will help with the LIGO project. LIGO is a gravitational wave observatory, and that means that we will be able to look through its data to find whether gravitational wave events accompany these mergers as relativity predicts. This will provide more data that should help us construct a quantum theory of gravity. A quantum theory of gravity will allow us to eventually construct a complete quantum theory of all the four forces. And a complete theory of all four forces could lead to some very interesting technology indeed, depending on the details; for instance, total conversion of mass to energy; for instance, manipulation of gravitational waves, which could revolutionize civil engineering; for instance, a stardrive (not FTL, necessarily, but certainly a reasonable Bussard ramrocket); for instance, conversion of energy to mass, something we know should be possible but have no idea how to do now. Relativity looked useless too, but it turned out to be a cornerstone in the discovery and development of nuclear energy.
"Trouble rather the tiger in his lair than the sage among his books, for to you kingdoms and their armies are things mighty and enduring, but to him they are but toys of the moment, to be overturned with the flick of a finger." -- Gordon Dickson