  Novel electronic systems displaying exotic physical properties can be derived
from complex topological materials through chemical doping. MoTe$_2$, the
candidate type-II Weyl semimetal shows dramatically enhanced superconductivity
up to 4.1 K upon Re doping in Mo sites. Based on bulk transport and local
scanning tunneling microscopy (STM) here we show that Re doping also leads to
the emergence of a possible charge density wave (CDW) phase in
Re$_{0.2}$Mo$_{0.8}$Te$_2$. In addition, the tunneling $I-V$ characteristics
display non-linearity and hysteresis which is commensurate with a hysteresis
observed in the change in tip-height ($z$) as a function of applied voltage
$V$. The observations indicate an electric field induced hysteretic switching
consistent with piezoelectricity and possible ferroelectricity.
