  Exclusive dilepton production occurs with high cross section in
gamma-mediated processes at the LHC. The pure QED process
$\gamma\gamma\rightarrow\ell^+\ell^-$ provides the conditions to study particle
production with masses at the electroweak scale. By tagging the leading proton
from the hard interaction, the Precision Proton Spectrometer (PPS) provides an
increased sensitivity to selecting exclusive processes. PPS is a detector
system to add tracking and timing information at approximately 210~m from the
interaction point around the CMS detector. It is designed to operate at high
luminosity with up to 50 interactions per 25~ns bunch crossing to perform
measurements of e.g. the quartic gauge couplings and search for rare exclusive
processes. Since 2016, PPS has been taking data in normal high-luminosity
proton-proton LHC collisions. Exclusive dilepton production with proton
tagging, the first results obtained with PPS, and the status of the ongoing
program are discussed.
