  We review the peculiarities that make neutrino a very special cosmic
messenger in high-energy astrophysics, and, in particular, to provide possible
indications of deviations from special relativity, as it is suggested
theoretically by quantum gravity models. In this respect, we examine the
effects that one could expect in the production, propagation, and detection of
neutrinos, not only in the well-studied scenario of Lorentz Invariance
Violation, but also in models which maintain, but deform, the relativity
principle, such as those considered in the framework of Doubly Special
Relativity. We discuss the challenges and the promising future prospects
offered by this phenomenological window to physics beyond special relativity.
