  We investigate CP-violating effects induced by light top partners in
composite Higgs theories. We find that sizable contributions to the dipole
moments of the light SM quarks and leptons are generically generated at the
two-loop level through Barr-Zee-type diagrams. The present constraints on the
electron and neutron electric dipole moments translate into bounds on top
partner masses of order few TeV and are competitive with the reach of LHC
direct searches. Interestingly, we find that CP-violation effects are sensitive
to the same operators that control top partner single production. Near-future
improvements in the determination of the electron dipole moment will extend the
reach on top partner masses beyond the 5 - 10 TeV range.
