  The parity violating but CP conserving anomalous three-gauge-boson coupling
$g_5^Z$ induces a universal contribution to the left-handed coupling of the $Z$
boson to fermions. We find that the LEP measurements of the partial $Z$ widths
and lepton forward-backward asymmetries are sufficiently precise to place a
bound of order $|g_5^Z|$ less than $\sim~10\%$. This bound is significantly
better than what can be obtained at present from rare $K$ and $B$ meson decays.
