  The first probe of the correlation of the T-odd one-particle fragmentation
function responsible for the left--right asymmetry of fragmentation of a
transversely polarized quark and an antiquark is done by using the 1991-95
DELPHI data for $Z\to 2$ jet decay. Integrated over the fraction of
longitudinal and transversal momenta, this correlation is of 2.5 ppm order,
which means order of 7% for the analyzing power. This makes us hope to use
certain effects in polarized DIS experiments for transversity measurement.
