  The magnetic analog of odd-time superconducting order is introduced. It is
shown that the classification of possible odd-time magnetic states admits the
existence of a novel state - the chiral spin nematic - which is characterized
by an odd-in-time spin-spin correlation function.The known example of the
chiral spin liquid appears naturally in this approach. The equal-time
correlation function of these odd-in-time states involves non-trivial three
spin correlations.
