Hi James,
The best way to do this I would think would be to remove the jewel, unscrew the hollow screw under that which will free the clip from the cap and then check to see where the unwanted kink or bend is and correct it.
If it is not just an easy tweak with the fingers, which it might well be, then I have used plastic semi soft jaws in a vise to straighten a kink and smooth jawed pliers with a wrap of rubber round the clip to gently correct a bend at the arrow end of the clip.
Then re-assemble the clip and cap.
That is just how I have done it in the past and it has worked fine for me, no doubt other people will have different and perhaps better ideas about how to do it and I look forward to seeing what they are.
cheers, John