For a Nikon FE, if you can continue to crank after you already cranked the shutter once, here is the simple fix.
Open the bottom cover, bend the flat lever/stopper downwards carefully (Don’t Break Anything), so it fit in the groove/notch to the circular metal disc its touching. You’re done.
The circular metal disc rotate while you crank the film advance lever. The flat lever is supposed to snapped in the notch securely after you cranked it (thus rotating the metal disc for the lever to lock in to the notch) to prevent further advances.
Not Cranked
Cranked
Straight, No Chaser. 
Hello Derek!
I have the same problem, can I ask you to show an illustration?
Thanks.
Best regards, Vladimir.
Give me an hour or two I will tear mine up to show you.
Just updated it, hope that helps.
Thanks! I’ll try to do it tomorrow.
Done! In FE2 it’s a bit different, but still very similar. Thank you!
Congrats, and very glad I could help you, I know how annoying it can be when that bit is not fixed.