  We present here two concrete examples of models where a sub-TeV scale
breaking of their respective $\mathcal{T}_{13}$ and $A_5$ flavor symmetries is
able to account for the recently observed discrepancy in the muon anomalous
magnetic moment, $(g-2)_\mu$. Similarities in the flavor structures of the
charged-lepton Yukawa matrix and dipole matrix yielding $(g-2)_\mu$ give rise
to strong constraints on low-scale flavor models when bounds from lepton flavor
violation (LFV) are imposed. These constraints place stringent limits on the
off-diagonal Yukawa structure, suggesting a mostly (quasi-)diagonal texture for
models with a low flavor breaking scale $\Lambda_f$. We argue that many of the
popular flavor models in the literature designed to explain the fermion masses
and mixings are not suitable for reproducing the observed discrepancy in
$(g-2)_\mu$, which requires a delicate balance of maintaining a low flavor
scale while simultaneously satisfying strong LFV constraints.
