  Quirks are generic predictions of strongly-coupled dark sectors. For
weak-scale masses and a broad range of confining scales in the dark sector,
quirks can be discovered only at the energy frontier, but quirk--anti-quirk
pairs are produced with unusual signatures at low $p_T$, making them difficult
to detect at the large LHC detectors. We determine the prospects for
discovering quirks using timing information at FASER, FASER2, and an "ultimate
detector" in the far-forward region at the LHC. NLO QCD corrections are
incorporated in the simulation of quirk production, which can significantly
increase the production rate. To accurately propagate quirk pairs from the
ATLAS interaction point to the forward detectors, the ionization energy loss of
charged quirks traveling through matter, the radiation of infracolor glueballs
and QCD hadrons during quirk pair oscillations, and the annihilation of
quirkonium are properly considered. The quirk signal is separated from the
large muon background using timing information from scintillator detectors by
requiring either two coincident delayed tracks, based on arrival times at the
detector, or two coincident slow tracks, based on time differences between hits
in the front and back scintillators. We find that simple cuts preserve much of
the signal, but reduce the muon background to negligible levels. With the data
already collected, FASER can discover quirks in currently unconstrained
parameter space. FASER2, running at the Forward Physics Facility during the
HL-LHC era, will greatly extend this reach, probing the TeV-scale quirk masses
motivated by the gauge hierarchy problem for the broad range of dark-sector
confining scales between 100 eV and 100 keV.
