Links of Gorenstein toric isolated singularities are good toric contact  manifolds with zero first Chern class. In this talk I will present some  results relating contact and singularity invariants in this particular  toric context. Namely,  (i) I will explain why the contact mean Euler characteristic is equal  to the Euler characteristic of any crepant toric smooth resolution of  the singularity (joint work with Leonardo Macarini).  (ii) I will discuss applications of contact invariants of Lens spaces  that arise as links of Gorenstein cyclic quotient singularities (joint  work with Leonardo Macarini and Miguel Moreira).