We discuss the phenomenology of an MeV-scale Dirac fermion coupled to the
Standard Model through a dark photon with kinetic mixing with the
electromagnetic field. We compute the dark matter relic density and explore the
interplay of direct detection and accelerator searches for dark photons. We
show that precise measurements of the temperature and polarization power
spectra of the Cosmic Microwave Background Radiation lead to stringent
constraints, leaving a small window for the thermal production of this MeV dark
matter candidate. The forthcoming MeV gamma-ray telescope e-ASTROGAM will offer
important and complementary opportunities to discover dark matter particles
with masses below 10 MeV. Lastly, we discuss how a late-time inflation episode
and freeze-in production could conspire to yield the correct relic density
while being consistent with existing and future constraints.