  The LHC phenomenology of a low-scale gauged flavor symmetry model with
inverted hierarchy is studied, through introduction of a simplified model of
broken flavor symmetry. A new scalar (a flavon) and a new neutral top-philic
massive gauge boson emerge with mass in the TeV range along with a new heavy
fermion associated with the standard model top quark. After checking
constraints from electroweak precision observables, we investigate the
influence of the model on Higgs boson physics, notably on its production cross
section and decay branching fractions. Limits on the flavon $\varphi$ from
heavy Higgs boson searches at the LHC at 7 and 8 TeV are presented. The
branching fractions of the flavon are computed as a function of the flavon mass
and the Higgs-flavon mixing angle. We also explore possible discovery of the
flavon at 14 TeV, particularly via the $\varphi \rightarrow Z^0Z^0$ decay
channel in the $2\ell2\ell'$ final state, and through standard model Higgs
boson pair production $\varphi \rightarrow hh$ in the $b\bar{b}\gamma\gamma$
final state. We conclude that the flavon mass range up to $500$ GeV could
probed down to quite small values of the Higgs-flavon mixing angle with 100
fb$^{-1}$ of integrated luminosity at 14 TeV.
