Multiecho Cartesian MRI methods can non-invasively quantify liver fat, but are susceptible to motion artifacts and limited by breath-hold (BH) imaging. We have developed a new free-breathing (FB) liver fat quantification technique using 3D stack-of-radial imaging (Radial). In this work, we further investigate motion compensation and quantification accuracy for FB Radial. In n=11 healthy volunteers, FB Radial fat quantification demonstrated significant correlation (ρ > 0.9876) and low mean difference (< -1.19%) compared to BH Cartesian and BH single-voxel spectroscopy. FB Radial can potentially achieve accurate whole-liver fat quantification with either a fast 1-2 minute scan or a 3-minute self-navigated scan.