We propose to test the CP symmetry in the reactions Z --> mu(+)mu(-)ga
mma and Z --> tau(+)tau(-)gamma. The experimental analysis of angular
correlations allows to determine a set of effective couplings: the ele
ctric and weak dipole moments of the muon and the tau lepton, and in p
articular chirality conserving 4-particle couplings, all of which can
be induced by CP-violation in renormalizable theories of electroweak i
nteractions beyond the Standard Model. We update an indirect bound on
the weak dipole moment of the muon.