Interesting, thanks Steve. I usually fix for double development time.
It's normally recommended to fix for double the
clearing time (the time it takes for the film to no longer appear milky). A normal hypo fixer (dissolve crystals in water, no acid, no hardener) takes around 5 minutes to clear, so the fixing time is 10 minutes. The recommendation was to throw it and start with fresh when the clearing time doubled.
Modern rapid fixers fix completely in under 2 minutes, so if you're developing in Rodinal (as I am) where developing times can be 16 minutes, you're definiely over fixing.
The loss of image from over fixing (if pushed far enough) is easily visible.
If you're worried about examining the film before the fixing is complete, don't. The acid in the stop bath (if the stop isn't exhausted - use an indicator stop or litmus paper to check acidity) will stop development with normal developers; and even if not, the time it takes the developer to kick in to develop the parts you exposed will be longer than the time it takes to fix anyway.
Although I don't recommend it, you can get away with taking the lid off the tank to pour out the developer and get the stop bath in quickly without ill effect. I've done it - CombiPlan tanks take a time to fill.
Prints should definitely not be over fixed - not only can it dissolve the image (I've seen the effects easily myself years ago) but it also makes it more difficult if not impossible to removed all the chemicals by washing, which affects permanence.