  The recently observed excess in diphoton events at around 750\,GeV can be
satisfactorily described in terms of a new spin-0 real singlet with effective
interactions to the gauge bosons. In this letter we first review the current
constraints on this setup. We further explore the production in association
with a gauge boson. We show the potential of this channel to unravel current
flat directions in the allowed parameter space. We then study the potential of
two different asymmetries for disentangling the CP nature of such a singlet in
both gluon fusion and vector-boson fusion. For this matter, we perform an
estimation of the efficiency for selecting signal and background events in
eight different decay modes, namely $4\ell, 2j\, 2\ell,
2j\ell\,E_T^\text{miss}, 2\gamma\,2j, 4\ell\,2j, 2\ell\,\gamma\,2j, 4j\,2\ell$
and $4j\,\ell\,E_T^\text{miss}$. We emphasize that the very different couplings
of this new singlet to the Standard Model particles as well as the larger mass
provide a distinctive phenomenology with respect to Higgs searches. We finally
show that a large region of the parameter space region could be tested within
the current LHC run, the dominant channel being $2\gamma\, 2j$.
