We discuss models of flavour symmetries that have been proposed in order to explain the neutrino data; to do so, a combined consideration of fermion mass and mixing hierarchies, leptogenesis, CP-violation and lepton-flavour violation is required. Quantum corrections to neutrino masses and mixings have to be adequately accounted for. Although there is a wide range of solutions within different frameworks, it is possible to identify some common characteristics which, in view of the expected neutrino data, may be used to constraint or even exclude certain classes of models.