DnD, while it's possible that this shows us a way to go past light-speed, it's considered just as likely there is something wrong with the experiment. This is almost definitely going to teach something new about physics, but not necessarily disprove relativity. Neutrinos are some of the least understood particles in science and this might teach us something about the way they interact apparently. Read the discussion I linked.
Also, Einstein did not arbitrarily set the speed of light as the absolute limit. He tried to explain the results of previous experiments that showed that the relative speed of light is always c, no matter the referential system. He came up with the theory of relativity, that posed the revolutionary concept that time isn't as constant and unchanging as we think, but is directly linked to the speed we're moving at (see my previous posts for a more elaborate explanation). His theory was then proven right time and time again by experiments. The speed of light is not some arbitrary limit, but a direct consequence of the theory of relativity. It should be as impossible as falling upwards.
Furthermore, I think it's highly unlikely this holds the key to FTL travel, unless we can turn ourselves into neutrinos somehow

. It's a step in the right direction though. This could ultimately lead to FTL communication though. Then again, I'm no physicist.