  The Next-to-Minimal Supersymmetric Standard Model (NMSSM) contains a
singlet-like pseudoscalar Higgs boson in addition to the doublet-like
pseudoscalar of the Minimal Supersymmetric Standard Model. This new
pseudoscalar can have a very low mass without violating the LEP exclusion
constraints and it can potentially provide a hallmark signature of non-minimal
supersymmetry at the LHC. In this analysis we revisit the light pseudoscalar in
the NMSSM with partial universality at some high unification scale. We
delineate the regions of the model's parameter space that are consistent with
the up-to-date theoretical and experimental constraints, from both Higgs boson
searches and elsewhere (most notably $b$-physics), and examine to what extent
they can be probed by the LHC. To this end we review the most important
production channels of such a Higgs state and assess the scope of its
observation at the forthcoming Run-2 of the LHC. We conclude that the
$b\bar{b}$-associated production of the pseudoscalar, which has been emphasised
in previous studies, does not carry much promise anymore, given the measured
mass of the Higgs boson at the LHC. However, the decays of one of the heavier
scalar Higgsbosons of the NMSSM can potentially lead to the discovery of its
light pseudoscalar. Especially promising are the decays of one or both of the
two lightest scalar states into a pseudoscalar pair and of the heaviest scalar
into a pseudoscalar and a $Z$ boson. Since the latter channel has not been
explored in detail in the literature so far, we provide details of some
benchmark points which can be probed for establishing its signature.
