  We study the cyclic and supercyclic dynamical properties of weighted
composition operators on the Fock space $\mathcal{F}_2$. A complete
characterization of cyclicity which depends on the derivative of the symbol for
the composition operator and zeros of the weight function is provided. It is
further shown that the space fails to support supercyclic weighted composition
operators. As a consequence, we also noticed that the space supports no cyclic
multiplication operator.
