The future Large Hadron-electron Collider (LHeC), operating at a center-of-mass energy of 1.2~TeV
and delivering an integrated luminosity of 1~ab\(^{-1}\), will offer unique opportunities
for investigating high-energy $\gamma\gamma$ interactions.
The clean experimental environment at the LHeC, combined with its high luminosity, suits perfectly studies of exclusive particle production. This paper discusses the exclusive production of pairs of charged particles via photon-photon fusion
in electron-proton collisions at the LHeC, using $\gamma \gamma \to W^+W^-$, $\tau^+ \tau^-$, and higgsiono pair cases as examples. Comparisons of the cross-section predictions from three different approaches to computing of two-photon production at the LHeC are also reported.