  Any observation of charged lepton flavor violation (CLFV) implies the
existence of new physics beyond the SM in charged lepton sector. CLFV
interactions may also contribute to the muon magnetic moment and explain the
discrepancy between the SM prediction and the recent muon $g-2$ precision
measurement at Fermilab. We consider the most general SM gauge invariant
Lagrangian of $\Delta L=0$ bileptons with CLFV couplings and investigate the
interplay of low-energy precision experiments and colliders in light of the
muon magnetic moment anomaly. We go beyond previous work by demonstrating the
sensitivity of the LHC, the MACE experiment, a proposed muonium-antimuonium
conversion experiment, and a muon collider. Currently-available LHC data is
already able to probe unexplored parameter space via the CLFV process
$pp\to\gamma^*/Z^*\to \ell_1^\pm \ell_1^\pm \ell_2^\mp \ell_2^\mp$.
