We study T violation at a mu(+)mu(-) collider in the reaction mu(+)mu(-) --> mu(+)mu(-) This is achieved by introducing complex gauge interactions in the leptonic sector of the standard model. T violating asymmetries analogous to the usual P violating asymmetry in conventional weak interactions are defined. The study requires measurements of the polarisations of the mu(+), mu(-) beams in the initial and final states. Whilst these are difficult experiments, nevertheless it may be possible to set stringent upperbounds on T violating amplitudes in the leptonic sector from studies of these asymmetries at mu(+)mu(-) colliders.