A different research group called ICARUS has repeated the earlier experiment done by the OPERA group and found that neutrino speeds do not exceed the speed of light after all. You can read the paper here.
The ICARUS group had been working with the same neutron beam source at CERN and also had their detectors at Garn Sasso in Italy, just like OPERA, but had been doing different experiments. They modified it to measure neutrino speeds and got this new result. They were also able to create very tight bunches of neutrinos with widths of just 3 ns, the bunches being separated by a huge 524 ns, enabling them to measure the time of flight more unambiguously.
Coupled with the earlier discovery of a possible technical malfunction in the OPERA experiment, this likely ends this story.
It is sad in a way. Scientists in general love a revolutionary new discovery because it usually opens up a whole world of exciting new questions to explore, while telling us something deep about our universe.
But with science there will always be new frontiers to explore and challenges to conquer.