In recent years, high energy gamma ray astronomy made some spectacular discoveries regarding observations on delayed arrival of the more energetic photons from extreme astrophysical sources, such as Active Galactic Nuclei or Gamma Ray Bursts. There are currently four such confirmed instances, with delays ranging from half a second to minutes. The astrophysics of the cosmic sources in these cases is still a mystery. In fact, standard models for particle acceleration, seem not to be capable of reproducing the events, and one needs modified mechanisms. This prompted speculations that these delays may also be (partly) due to photon propagation in non-trivial vacua of quantum gravity, with non-standard optical properties, which is the result of a space-time foam situation. The talk will review briefly both astrophysical and quantum gravity approaches to the subject entailing modified dispersion relations for matter probes. As far as the latter are concerned, I will show how most of these are ruled out from a plethora of other astrophysical observations, and concentrate on one, inspired from string theory, which appears to be compatible with the current astrophysical data, including the observed delays. This happens for specifically stringy reasons, associated with a non commutative structure of space time at string scales, as well as the fact that the string foam effects are not of universal strength among particle species, being dominant for high-energy photons. The theoretical discussion will be non technical, aimed at non experts.