  The possibility of a light charged Higgs boson $H^\pm$ that decays
predominantly to $cb$ and with a mass in the range 80 GeV $\le M_{H^\pm} \le
90$ GeV is studied in the context of a 3-Higgs Doublet Model (3HDM). Searches
for this decay at the Large Hadron Collider (LHC) do not have sensitivity to
this mass region at present. It is shown that the searches for $H^\pm$ at LEP2
could be supplemented by either one or two $b$-tags, which would enable such
large branching ratios for $H^\pm\to cb$ to be probed in the above mass region.
We comment on the possibility of this 3HDM scenario to explain a slight excess
in the searches for $H^\pm$ at LEP2, which is best fit by $M_{H^\pm}$ of around
90 GeV, and discuss the prospects for detecting $H^\pm \to cb$ decays at future
$e^+e^-$ colliders.
