  Let G be a locally compact group and let $A_\Phi(G)$ be the Orlicz-version of
the Fig\`{a}-Talamanca Herz algebra of G associated with a Young function
$\Phi.$ We show that if $A_\Phi(G)$ is Arens regular, then $G$ is discrete. We
further explore the Arens regularity of $A_\Phi(G)$ when the underlying group
$G$ is discrete. In the running, we also show that $A_\Phi(G)$ is
finite-dimensional if and only if $G$ is finite. Further, for amenable groups,
we show that $A_\Phi(G)$ is reflexive if and only if $G$ is finite, under the
assumption that the associated Young function $\Phi$ satisfies the
MA-condition.
