  We analyze the neutrino mass spectrum and discuss the extra-dimensional
interpretation of a three-site Pati-Salam model which i) unifies all families
of quark and leptons, ii) provides a natural description of the Standard Model
Yukawa couplings, iii) could account for the recent $B$-physics anomalies. The
key feature of the model is a breaking of the Pati-Salam and electroweak gauge
symmetries localized on opposite sites, communicated to the other sites in an
attenuated manner via nearest-neighbor interactions. We show that in this
context gauge-singlet fermions localized on each site, receiving hierarchical
Majorana masses, can allow the implementation of an inverse seesaw mechanism
leading to light anarchic neutrino masses consistent with data. The continuum
limit of this three-site setup has a natural interpretation in terms of a
warped extra dimension with three defects, where the required exponential
hierarchies can be achieved from $\mathcal{O}(1)$ differences in the bulk field
masses.
