  We re-examine lepton flavor violation (LFV) in the Littlest Higgs model with
T--parity (LHT) including the full T--odd (non-singlet) lepton and Goldstone
sectors. The heavy leptons induce two independent sources of LFV associated
with the couplings necessary to give masses to the T--odd mirror fermions and
to their partners in right-handed $SO(5)$ multiplets, respectively. The latter,
which have been neglected in the past, can be decoupled from gauge mediated
processes but not from Higgs mediated ones and must therefore also be included
in a general analysis of LFV in the LHT. We also further extend previous
analyses by considering on-shell $Z$ and Higgs LFV decays together with the LFV
processes at low momentum transfer. We show that current experimental limits
can probe the LHT parameter space up to global symmetry breaking scales $f \sim
10$ TeV. For lower $f$ values $\gtrsim 1$ TeV, $\mu-e$ transitions require the
misalignment between the heavy and the Standard Model charged leptons to be
$\lesssim 1 \, \%$. Future LFV experiments using intense muon beams should be
sensitive to misalignments below the per mille level. For $\tau$ LFV
transitions, which could potentially be observed at Belle II and the LHC as
well as future lepton colliders, we find that generically they can not
discriminate between the LHT and supersymmetric models though in some regions
of parameter space this may be possible.
