This paper presents the first attempt to apply the Jeener-Broekaert pulse sequence to an inhomogeneous pure quadrupolar resonance as a means to study motional processes. The decay of the 35Cl Jeener-Broekaert echo is measured in polycrystalline and single-crystal samples of K2OsCl6 at 295 and 77 K for various separations τ1 of the preparation pulse pair as a function of the delay time τ2 of the observe pulse following the pulse pair. The observed decays are represented by double exponential functions. For long τ1 the response is that of a stimulated echo and is characteristic of a system in which no spin temperature can be defined. The present experiments have characterized the decay but provide no real understanding of the underlying mechanism. For short τ1 the dominant response is that characteristic of dipolar order. The long time constant of the decay is as predicted for the motion narrowing regime. The short time constant is interpreted in terms of cross relaxation by spin-spin diffusion between single-spin and spin-spin energy reservoirs. Sample-dependent aspects are attributed to the different defect structures in the polycrystalline and single-crystal samples.