  In the algebraic setting, cluster varieties were reformulated by
Gross-Hacking-Keel as log Calabi-Yau varieties admitting a toric model.
Building on work of Shende-Treumann-Williams-Zaslow in dimension 2, we describe
the mirror to the GHK construction in arbitrary dimension: given a truncated
cluster variety, we construct a symplectic manifold and prove homological
mirror symmetry for the resulting pair. We also describe how our construction
can be obtained from toric geometry, and we relate our construction to various
aspects of cluster theory which are known to symplectic geometers.
