A lockable enclosure includes a housing and an access door assembled with the housing and movable between a closed position and an open position. A latch is carried by the access door and is slideable along a first axis between a door latching and a door releasing position. A plurality of dials are carried by the access door and rotatable about a post extending along a second axis. When each of the plurality of dials is rotated to an unlocking orientation, an outer peripheral recess on each of the dials aligns with a corresponding dial engaging portion of the latch, allowing the latch to slide along the first axis from the door latching position to the door releasing position.