We discuss theoretical and phenomenological aspects of the freeze-in cosmological dark matter production mechanism. After a short description of the main ideas behind freeze-in, we present a class of models which can naturally accommodate the extremely small dark matter couplings required for successful freeze-in, by relying on the Clockwork mechanism. Secondly, we discuss some phenomenological signatures that can arise in freeze-in models, in particular related to
different searches for long-lived particles at the Large Hadron Collider.