  The addition of a high intensity 11 GeV polarized positron beam at the
Continuous Electron Beam Accelerator Facility (CEBAF) at JLAB would allow for a
search of Charged Lepton Flavor Violation (CLFV) via the process $e^+N
\rightarrow \mu^+ X$. The proposed Solenoidal Large Intensity Detector (SoLID)
spectrometer, in the configuration with muon chambers, would be ideal for such
CLFV searches. Various new physics scenarios, including the phenomenologically
convenient Leptoquark (LQ) framework, predict CLFV rates that are within reach
of current or planned experiments. A positron beam with instantaneous
luminosity, ${\cal L}\sim 10^{38}$ cm$^{-2}$s$^{-1}$, could improve on existing
HERA limits by two or three orders of magnitude. The availability of positron
beam polarization would also allow for distentangling CLFV effects mediated by
left-handed vs. right-handed LQs.
