We report the crystal structure and highly anisotropic magnetic, transport, and thermal properties of an exceptionally good single crystal of U(Ru 0.92 Rh 0.08 ) 2 Si 2 , prepared using a modified Czochralski method. Our study, that also includes neutron diffraction results, shows all the heavy-fermion signatures of pristine URu 2 Si 2 ; however, the superconductivity, hidden order, and remnant weak antiferromagnetic orders are absent. Instead, the ground state of the doped system can be classified as a spin liquid that preserves the heavy-fermion character. U(Ru 0.92 Rh 0.08 ) 2 Si 2 exhibits a short-range magnetic order distinguished by reflections of a Lorentzian profile at q III = ( ) positions that disappear above ∼15 K. The short-range order seems to be a precursor of a long-range magnetic order that occurs with higher Rh concentration. We indicate that these short-range fluctuations involve, at least partially, inelastic scattering processes.