Yeah, this is probably just a statistical error in their measurements.
But modern physics has always been plagued with a problem. Out the big three qualites of the Universe -- Locality, Relativity, and Causality -- one of them has to be breakable. Entanglement proves that. We have been assuming that entanglement breaks Locality, but there's a slim chance that one of the others might be an illusion.
Break Locality and we get spooky action at a distance.
Break Relativity and we get FTL.
Break Causality and all hell breaks loose with it. Time as we know it ceases to have meaning.
If the CERN experiments hold up, it's evidence for Relativity breaking, and that could get fun fun fun...