  We consider the gauged $U(1)$ clockwork theory with a product of multiple
gauge groups and discuss the continuum limit of the theory to a massless gauged
$U(1)$ with linear dilaton background in five dimensions. The localization of
the lightest state of gauge fields on a site in the theory space naturally
leads to exponentially small effective couplings of external matter fields
localized away from the site. We discuss the implications of our general
discussion with some examples, such as mediators of dark matter interactions,
flavor-changing $B$-meson decays as well as D-term SUSY breaking.
