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In cutting procedures a possible reason for deviations from the predefined dimensions of the workpiece are deformations caused by the clamping. The deviations are usually measured after process using for example a coordinate measuring machine (CMM). It would be very much advantage to detect such deformations in process. Then, it could be possible to avoid, compensate or repair them before finishing. In the present work, four strain gauges have been applied into a four-jaw chuck in order to measure the clamping forces during milling and correlate them with deviations in the dimensions of the workpiece. A correlation between the clamping forces and deviations in the roundness of the workpiece has been verified. These investigations allow for the next step the development of an active clamping system for adaptive corrections during the cutting process.