I thought they dismissed this years ago as measurement errors?

Even so, I can speculate somewhat. They say the neutrinos took 60 nanoseconds less "than light would have done". Yes, but is that light in a vacuum? Or light along the same route the neutrino took?

The neutrino is so small it doesn't interact with anything. It doesn't collide with anything, it doesn't lose energy. As far as the neutrino is concerned, dense space is essentially a vacuum. The photon, however, only moves at c in a vacuum... well what is a vacuum to a photon?

I suspect what we're seeing is the neutrino finding a straighter line than a photon can find.