Well unfortunately after taking apart and examining the jog dial / scroll wheel, it is rock solid on mine. I tried some leverage to see if it was a push on wheel but no joy. I have a feeling it may have a similar construction to old style volume wheels where there is a cir-clip on a spindle holding it in place. Unfortunately, ulike the volume dial set up where the spindle is accessible on the reverse side of the board - this one is not accessible without de-soldering the dial.
To de-solder this component would require the finest of skills. This is not a traditional board where the connections pass through the board and are soldered on the reverse side - it appears surface soldered (possibly multilayered) and surrounded by a number of likely heat sensitive components including the camera flash which is on the reverse side.
All in all I would suggest replacement new or second hand if you can find a source.