  We propose a Majoron-like extension of the Standard Model with an extra
global $U(1)_X$-symmetry where neutrino masses are generated through an inverse
seesaw mechanism at the 1-loop level. In contrast to the tree-level inverse
seesaw, our framework contains dark matter (DM) candidates stabilized by a
residual $\mathcal{Z}_2$-symmetry surviving spontaneous breaking of the
$U(1)_X$-group. We explore the case in which the DM is a Majorana fermion.
Furthermore, we provide parameter space regions allowed by current experimental
constraints coming from the dark matter relic abundance, (in)direct detection,
and charged lepton flavor violation.
