The 161Dy Mössbauer spectra of crystalline and amorphous DyAg were measured between 300 and 4.2 K. The amorphous sample was prepared by sputtering. At low temperatures typical magnetic relaxation spectra are observed in both materials. The main difference is the presence of a smeared out lattice electric field gradient and the slowing down of the relaxation rate in amorphous DyAg. Both effects are caused by a random local distortion of the cubic symmetry of the DyAg lattice by the amorphization process.