  We present THz range optical conductivity data of a thin film of the near
quantum critical heavy fermion compound CeFe$_2$Ge$_2$. Our complex
conductivity measurements find a deviation from conventional Drude-like
transport in a temperature range previously reported to exhibit unconventional
behavior. We calculate the frequency dependent effective mass and scattering
rate using an extended Drude model analysis. We find the inelastic scattering
rate can be described by a temperature dependent power-law $\omega^{n(T)}$
where $n(T)$ approaches $\sim1.0 \pm 0.2$ at 1.5 K. This is compared to the
$\rho \sim T^{1.5}$ behavior claimed in dc resistivity data and the $\rho \sim
T^{2}$ expected from Fermi-liquid theory. In addition to a low temperature mass
renormalization, we find an anomalous mass renormalization that persists to
high temperature. We attribute this to a Hund's coupling in the Fe states in a
manner similar to that recently proposed in the ferro-pnictides. CeFe$_2$Ge$_2$
appears to be a very interesting system where one may study the interplay
between the usual $4f$ lattice Kondo effect and this Hund's enhanced Kondo
effect in the $3d$ states.
