A clamping device for clamping a rodlike member to a housing, particularly a dental tool to a handpiece, includes a tapered sleeve and a tapered collet received within the tapered sleeve, both having open ends for receiving the rodlike member. A depressible button is engageable with the closed end of the tapered collet to move the collet outwardly of the tapered sleeve, thereby to expand the tapered collet and to permit removal or insertion of the rodlike member. Several improved versions are also described including an annular seal carried by the open end of the tapered sleeve, a coiled spring urging the tapered collet inwardly of the tapered sleeve, an air bearing rotatably mounting an air turbine and the tapered sleeve, etc.