I wonder if theyve thought about maybe the neutrinos pushing a "bow wave" of particles ahead of them, thats about the only theory I can think of that prevents the speed of light being broken.
I guess they have already ruled this out though, as I cant see it being hard to identify...all the pulses will also be slightly longer than they were at the start.
Who knows, maybe we got the speed of light figure wrong all these years!
On to the time travel thing, yes the reporters are sensationalising this discovery. Its all relative - if you could have somehow sent the incredibly accurate clock along with the neutrino burst, as it flew away from you at the speed of light it would appear to you (back at the start, if you could see the clockface) that the incredibly accurate clock had stopped. At half the speed of light, it would seem to you that the clock was slowing down - taking two seconds locally for every indicated second on the clock. Thus the theory of time dilation when travelling at significant speeds.
Whats really happening (and what you could only really tell at a point off to the side of the clocks path) is that the same second is ticking by but as the distance increases between start point and accurate clock theres the additional time taken for the light to get back to that start point.
You can see (well...hear) this kind of thing in action next to a fast road. If youre right beside the road and someones passing by while holding their horn down, you can hear doppler shift (higher pitch when heading towards you, lower pitch moving away). The person in the car hears a single tone with no doppler shift. If you walk 100m away from the road at a 90 degree angle, the doppler is still there but isnt as "dopplered"; the tone you hear changes less and is more like what you would hear if you were travelling along with the driver. The nature of the result changes depending on where you observe the experiment from.
Hmmm...maybe they should do that with the neutrinos lol.
Hope this helps lol.
Jas.