Shouldn't be floppy. Be careful if you peen it - use light taps and make sure you hit the pin. Don't over-tighten - I have smerched a couple of scales by being a little zealous on tightening. Wait until you get the blade cleaned up so you tighten just once. Which is obvious but I wanted to say it. ;-}
Is the pivot on ivory scales normally loose or should it be tight? This one is practically floppy.
Inventor of the world's first safety vibrating Kamisori with night light. Go to http://badgerandblade.com/vb/showthread.php/299465-A-milder-Kamisori: Inventor of the Weckisori - (thanks sychodelix)