Dimensional deconstruction of 5D SQCD with general n c, n f and k CS gives rise to 4D Script N= 1 gauge theories with large quivers of SU (n c) gauge factors. We construct the chiral rings of such [SU (n c)] N theories, off-shell and on-shell. Our results are broadly similar to the chiral rings of single U (n c) theories with both adjoint and fundamental matter, but there are also some noteworthy differences such as nonlocal meson-like operators where the quark and antiquark fields belong to different nodes of the quiver. And because our gauge groups are SU (n c) rather than U (n c), our chiral rings also contain a whole zoo of baryonic and antibaryonic operators.