  The Third Family Hypercharge Model predicts a $Z^\prime$ gauge boson with
flavour dependent couplings which has been used to explain anomalies in meson
decay processes which involve the $b\rightarrow s\mu^+\mu^-$ transition. The
model predicts that a TeV-scale $Z^\prime$ should decay to
particle-antiparticle pairs of muons, taus, top quarks and bottom quarks with
appreciable branching ratios. We reinterpret various ATLAS and CMS search
limits for $Z^\prime$ production followed by such decays at the LHC over a
parameter space of the model that results from a successful combined fit to the
$b\rightarrow s l^+ l^-$ data and precision electroweak observables. Current
exclusions in parameter space and expected sensitivities of the various
different channels in the high-luminosity run are compared. We find that the
high-luminosity run of the LHC will significantly increase the sensitivity to
the model beyond the existing observational limits, which we find to be
surprisingly weak.
