A thermodynamic study of [Mn4(hmp)4(pdm)2{N(CN)2}2] (ClO4)2 · 1.75H2O · 2Me(CN), which shows magnetic field induced freezing of spin correlations has been performed. The relaxation calorimetry using a dilution refrigerator revealed a broad heat capacity peak associated with an ordering of ground state doublet of Sz = +9, −9 of the Mn4 cluster. Upon applying magnetic fields, the peak is suppressed and the field induced freezing of spin correlations appears around 0.1 T. The measurements of frequency dependence by the ac-calorimetry technique demonstrate that the freezing temperature tends to increase with the increase of modulation frequency. The observed frequency dependence data as well as a preliminary pressure dependence experimets are consistent with the glass-like freezing typically observed in single-molecule magnets.