  We study freeze-in dark matter production in models that rely on the
Clockwork mechanism to suppress the dark matter couplings to the visible
sector. We construct viable scalar and fermionic dark matter models within this
Clockwork FIMP scenario, with several subtleties that need to be taken into
account revealed in the model-building process. We also provide analytic,
semi-analytic and numerical results for the diagonalization of Clockwork-type
mass matrices and briefly discuss the LHC phenomenology of the corresponding
scenarios.
