Physics would undergo a stupendous change if it were true. The scientists who analysed the data said, "Although our measurements have low systematic uncertainty and high statistical accuracy, and we place great confidence in our results, we're looking forward to comparing them with those from other experiments". However, no one seriously believes this one; earlier claims of neutrinos that travel faster than light have not stood up to scrutiny. Still, this news item will have its moment of fame, so here is its blog post!
For a very clear discussion of the details of the experiment, see this link.
Tailpiece: A battered photon totters into a police station and tells a cop, "A bunch of neutrinos just beat me". The cop says: "Did you get a good look at them?" The photon says: "Heck, no, it all happened so fast!"
This blog post is by Neelima Gupte and Sumathi Rao.