  We propose a novel possibility to detect a very distinctive signal with more
than four muons originating from pair-produced vector-like leptons decaying to
a muon-philic $Z^\prime$ boson. These new particles are good candidates to
explain the anomalies in the muon anomalous magnetic moment and the $b\to
s\ell\ell$ processes. The doublet (singlet) vector-like leptons lighter than
1.3 (1.0) TeV are excluded by the latest data at the LHC if $\mathrm{BR}(E\to
Z^\prime \mu) = 1$. We also show that the excess in the signal region with more
than five leptons can be explained by this scenario if the vector-like lepton
is a weak singlet, with mass about 400 GeV and $\mathrm{BR}(E\to Z^\prime \mu)
= 0.25$. The future prospects at the HL-LHC are discussed.
