A particle physicist did some calculations: if high energy neutrinos travel faster than the speed of light as quickly as was indicated at CERN, then we would have seen neutrinos from the SN1987a supernova 4.14 years before we saw the light from that same event:
http://neutrinoscience.blogspot.com/2011/09/arriving-fa... In fact, we saw the neutrinos only 3 hours before the event (neutrinos are the first to escape a supernova, which is why the photons were delayed)
Yes, perhaps they didn't think to look for neutrinos 4.14 years before the SN1987a event, but we can't look at just the CERN data, we have other sources. Before we get all excited about this new data from CERN, let's see what data everyone else discovers.