  We study the possibility that Dark Matter (DM) is made of Feebly Interacting
Massive Particles (FIMP) interacting just gravitationally with the Standard
Model particles in the framework of a Clockwork/Linear Dilaton (CW/LD) model.
We restrict here to the case in which the DM particles are scalar fields. This
paper extends our previous study of FIMP's in Randall-Sundrum (RS) warped
extra-dimensions. As it was the case in the RS scenario, also in the CW/LD
model we find a significant region of the parameter space in which the observed
DM relic abundance can be reproduced with scalar DM mass in the MeV range, with
a reheating temperature varying from 10 GeV to $10^{9}$ GeV. We comment on the
similarities of the results in both extra-dimensional models.
