Current LEP data on rare $Z$ decays constrain nonminimal technicolor models
that contain light neutral pseudo-Nambu-Goldstone bosons ($P^a$). We discuss
the production and decay of such particles, and show how LEP data on
$\gamma\gamma\gamma$, $\gamma + E\!\!\!/ $ and $\gamma+$hadrons constrain the
size of the technicolor gauge group and the strength of the $Z\gamma P^a$
coupling. The limits are then applied to several specific technicolor
scenarios.