We argue that the current experimental data in conjunction with perturbative unitarity considerations exclude the possibility that the LHC 125-126 GeV resonance is a generic massive spin-2 particle of either parity. We demonstrate that perturbative unitarity breaks down at energies Λ~600 GeV in tree-level Z-spin-2 elastic scattering. We further show that W-,Z-spin-2 interactions contribute to the electroweak oblique parameters in a way that is in gross disagreement with observations.