  We study the constraints on the vertices $W^+W^- Z\gamma$,
$W^+W^-\gamma\gamma$, and $ZZ\gamma\gamma$ that can be obtained from
triple-gauge-boson production at the next generation of linear $e^+e^-$
colliders operating in the $\gamma\gamma$ mode. We analyze the processes
$\gamma\gamma \to W^+W^-V$ ($V=Z$, or $\gamma$) and show that these reactions
increase the potential of $e^+e^-$ machines to search for anomalous
four-gauge-boson interactions.
