The invention relates to a cutting tool apparatus comprising a tool head rotatingly drivable about an axis of rotation, which tool head has a tool slide adjustable along an adjustment axis and an electrical measuring device for detecting an adjustment path of the tool slide, and comprising an external display device which is mechanically and electrically releasably connectable to the tool head and has a display unit for displaying the adjustment path of the tool slide. In order to further develop the cutting tool apparatus such that its handling is simplified, it is proposed according to the invention that the display device is mechanically securable on the stationary tool head in order to set the tool slide and is automatically releasable from the tool head if a predeterminable rotational acceleration of the tool head is exceeded.