The longstanding tension between measurement and Standard Model prediction for the anomalous magnetic moment g-2 of the muon could be considered an indication that physics beyond the Standard Model is lurking in lepton dipole moments. To decide this issue conclusively, both improved measurements and theoretical predictions are required. In view of the expected improvement by a factor of 4 at the Fermilab muon g-2 experiment, this presents a challenge to theory, with current uncertainties almost exclusively dominated by hadronic corrections. In the talk, I will give an overview of the present status of BSM searches with lepton dipole moments, concentrating on the Standard Model prediction for the muon g-2.
