  We study the chirality in the Villain form of the XY spin glass in
two--dimensions by Monte Carlo simulations. We calculate the chiral-glass
correlation length exponent $\nu_{\scriptscriptstyle CG}$ and find that
$\nu_{\scriptscriptstyle CG} = 1.8 \pm 0.3$ in reasonable agreement with
earlier studies. This indicates that the chiral and phase variables are
decoupled on long length scales and diverge as $T \to 0$ with {\em different}
exponents, since the spin-glass correlation length exponent was found, in
earlier studies, to be about 1.0.
