  We examine recent magnetic torque measurements in two compounds,
$\gamma$-Li$_2$IrO$_3$ and RuCl$_3$, which have been discussed as possible
realizations of the Kitaev model. The analysis of the reported discontinuity in
torque, as an external magnetic field is rotated across the $c-$axis in both
crystals, suggests that they have a translationally-invariant chiral spin-order
of the from $<{\bf S}_i. ({\bf S}_j ~\times ~ {\bf S}_k)> \ne 0$ in the ground
state and persisting over a very wide range of magnetic field and temperature.
An extra-ordinary $|B|B^2$ dependence of the torque for small fields, beside
the usual $B^2$ part, is predicted due to the chiral spin-order, and found to
be consistent with experiments upon further analysis of the data. Other
experiments such as inelastic scattering and thermal Hall effect and several
questions raised by the discovery of chiral spin-order, including its
topological consequences are discussed.
