Just as the topology of a manifold can be reconstructed from the combinatorics of a triangulation, the symplectic topology of certain symplectic manifolds can be reconstructed from the combinatorics of a “skeleton.” I will present several new variations on this theme and describe in particular how certain categories and spaces of interest in knot theory on the one hand, and cluster algebra on the other, can be realized as moduli of so-called microlocal sheaves on skeletons.