  We compute the correction to the muon magnetic moment in theories where the
Higgs is a pseudo-Goldstone boson and leptons are partially composite. Using a
general effective lagrangian we show that in some regions of parameters a
sizable new physics contribution to the magnetic moment can be obtained from
composite fermions that could explain the 3.5$\sigma$ experimental discrepancy
from the Standard Model prediction. This effect depends on the derivative
interactions of the Higgs that do not modify the coupling of the Higgs to
leptons and it does not require extremely light fermions, allowing to easily
avoid LHC bounds. Our derivations can be in general applied to dipole operators
in theories with Goldstone boson Higgs.
