  Over the last years, new physics in terms of a novel weakly-interacting
massive particle (WIMP) has come more and more under pressure from experimental
null results. While the remaining WIMP parameter space will be probed by next
generation dark matter experiments, models of light new physics have become
increasingly popular over the last decade. In an effort to explore the
parameter space of such light physics, a myriad of custom designed
high-precision/low-energy experiments has been proposed. In this note, however,
I argue that existing LHC multipurpose experiments like ATALS and CMS have a so
far unexploited potential to probe light physics via appearing displaced recoil
jets. In the first part, I discuss the sensitivity of this signature to
(ultra-)light scalar and axionic dark matter, while in the second part I show
its sensitivity to high-energy neutrino scattering.
