The thermal conductivities, A, and heat capacities of polycrystalline Dianin's compound and its CCl4 and ethanol clathrates have been investigated in the temperature range 40-300 K for pressures up to 1 GPa. All high-pressure results for A show typical crystal-like behavior, whereas previous atmospheric pressure results for single crystals as well as recent results on polycrystalline samples show glasslike behavior. The change from glasslike to crystal-like dependence might be caused by a frequency shift of localized vibrations on pressurization, moving the localized vibrations outside the frequency range of the dominant heat carriers and reducing thermal resistance due to resonance scattering.