An ammunition case primer pocket swager and associated methods. An actuator of the primer pocket swager may be operatively connected to a swage head for driving the swage head to a swaging position to swage the primer pocket, and may be operatively connected to a case holder for moving the case holder from a loading position to an operational position to hold the case to be swaged. Lost motion in a drive train of the primer pocket swager can be used to position the case holder in the operational position before the swage head reaches the swaging position. A primer pocket swager can include an adjustable case holder stop, a pivot mount guide, and/or a case aligner.