The exotic physics of low-dimensional quantum magnets has recently been highlighted by the award of a Nobel Prize to Duncan Haldane. We have identified the molecular framework material Cu(SCN)2 as a promising candidate for quantum-disordered magnetism. This material does not order magnetically down to 2 K, despite large magnetic interactions (~120 K), indicating strong effects of quantum mechanics, frustration, and/or dimensionality. We propose to measure high-resolution neutron-diffraction data on Cu(SCN)2 to obtain: (1) an unambiguous crystal-structure solution (2) the build-up of spin correlations in the paramagnetic regime, as probed by magnetic diffuse scattering and (3) the nature of magnetic order at the lowest temperatures (0.05 K). These measurements are important to reveal the potential of molecular framework materials to behave as model quantum magnets.