A shrink-clamping cooling device at least for an, in particular contour-independent, tempering of tool holders and/or tools, which were in particular heated previously, with at least one cooling container, which forms a receiving space for receiving at least one tool unit comprising a tool holder and a tool, and with at least one climate-control apparatus, which is configured for essentially tempering, preferably actively cooling, a cooling gas or cooling gas mixture, in particular cooling air, which is contained in the receiving space of the cooling container, and/or a cooling gas or cooling gas mixture, in particular cooling air, fed to the receiving space of the cooling container, for the purpose of cooling the tool unit.