  $K^*(892)^0\bar K^*(892)^0$ signals from $\chi_{cJ} (J=0,1,2)$ decays are
observed for the first time using a data sample of 14 million $\psi(2S)$ events
accumulated at the BES II detector. The branching fractions ${\cal
B}(\chi_{cJ}\to K^*(892)^0\bar K^*(892)^0)$ $(J = 0,1,2)$ are determined to be
$(1.55 \pm 0.35 \pm 0.30)\times 10^{-3}$, $(1.58 \pm 0.32 \pm 0.29)\times
10^{-3}$, and $(4.67 \pm 0.55 \pm 0.85)\times 10^{-3}$ for the $\chi_{c0}$,
$\chi_{c1}$ and $\chi_{c2}$ decays, respectively, where the first errors are
statistical and the second are systematic. The significances of these signals
are about 4.2$\sigma$, 4.3$\sigma$, and 7.5$\sigma$, respectively.
