A power drill has a housing holding a motor and a drive member rotatable about an axis. An arbor extending along the axis outside the housing is rotationally coupled by complementary formations with the drive member. A tube shaft on which is fixed a chuck body holding a plurality of axially displaceable jaws. A sleeve in the tube shaft is rotationally coupled to the arbor. A pusher element braced axially forward against the jaws extends axially rearward into the sleeve, and interengaging screwthreads on the sleeve and pusher element axially displace the pusher element and the jaws on relative rotation of the sleeve and pusher element. A setting sleeve rotationally coupled to the rear end of the tube shaft is axially displaceable between a tightening position engaging a slip coupling on the housing and a drilling position disengaged from the slip coupling and rotationally coupled to the arbor.