  We present a Left-Right symmetric model that provides an explanation for the
mass hierarchy of the charged fermions within the framework of the Standard
Model. This explanation is achieved through the utilization of both tree-level
and radiative seesaw mechanisms. In this model, the tiny masses of the light
active neutrinos are generated via a three-loop radiative inverse seesaw
mechanism, with Dirac and Majorana submatrices arising at one-loop level. To
the best of our knowledge, this is the first example of the inverse seesaw
mechanism being implemented with both submatrices generated at one-loop level.
The model contains a global $U(1)_{X}$ symmetry which, after its spontaneous
breaking, allows for the stabilization of the Dark Matter (DM) candidates. We
show that the electroweak precision observables, the electron and muon
anomalous magnetic moments as well as the Charged Lepton Flavor Violating
decays, $\mu \rightarrow e \gamma$, are consistent with the current
experimental limits. In addition, we analyze the implications of the model for
the $95$ GeV diphoton excess recently reported by the CMS collaboration and
demonstrate that such anomaly could be easily accommodated. Finally, we discuss
qualitative aspects of DM in the considered model.
