The two-photon exclusive production of charged supersymmetric pairs at the LHC has a clean and unique signature - two very forward scattered protons and two opposite charged leptons produced centraly. For low-mass SUSY scenarios, significant cross-sections are expected and background processes are well controlled. Measurement of the forward proton energies would allow for mass reconstruction of right-handed sleptons and the LSP with a few GeV resolution. Methods to reduce backgrounds at high luminosity resulting from accidental coincidences between events in the central and forward detectors are discussed.