The nanosystem composed of only as few as seven fullerenols C(60)(OH)(24) molecules was studied using the molecular dynamics (MD) technique. The interaction was taken to be the full site-site pairwise additive Lennard-Jones (LJ) potential, which generates both translational and anisotropic rotational motions of each fullerenol. The radial distribution function, the mean square displacement, the Lindemann index, the translational and angular velocity correlation functions of fullerenol have been calculated for several energies of the nanosystem. We provide also the in-depth evidence of the solid-liquid phase transition in the investigated cluster. The comparison with the properties of pure fullerene cluster (C(60))(7) is provided. The study is motivated by the expected diverse biological applications of water-soluble fullerenols.