  We present a class of dark matter models, in which the dark matter particle
is a feebly interacting massive particle (FIMP) produced via the decay of an
electrically charged and/or colored parent particle. Given the feeble
interaction, dark matter is produced via the freeze-in mechanism and the parent
particle is long-lived. The latter leads to interesting collider signatures. We
study current LHC constrains on our models arising from searches for heavy
charged particles, disappearing tracks, displaced leptons and displaced
vertices. We demonstrate not only that collider searches can be a powerful
probe of the freeze-in dark matter models under consideration, but that an
observation can lead as well to interesting insights on the reheating
temperature and thus on the validity of certain baryogenesis models.
