  We point out a dark matter candidate which arises in a minimal extension of
solutions to the hierarchy problem based on compositeness. In such models, some
or all of the Standard Model fields are composites of a conformal field theory
(CFT) which confines near the electroweak scale. We posit an elementary scalar
field, whose mass is expected to lie near the cutoff of the CFT, and whose
couplings to the Standard Model are suppressed by the cutoff. Hence it can
naturally be ultraheavy and feebly coupled. This scalar can constitute all of
the dark matter for masses between $10^{10}$ GeV and $10^{18}$ GeV, with the
relic abundance produced by the freeze-in mechanism via a coupling to the CFT.
The principal experimental constraints come from bounds on the tensor-to-scalar
ratio. We speculate about future detection prospects.
