Some good advice so far. Tony's suggestion, change the springs, I would suggest using 4 instead of 3. From Simon, Fit a string retainer, I've never seen or worked on a Floyd without one. Check Dr Nomis' suggestionsClick image for larger version. 

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ID:	28222. I'm assuming you're in standard tuning adding a low B, also that the post mount holes were drilled precisely in the first place, and the bridge is level. It's double locking The only points of contact should be the knife edges against the V grooves in the mounting posts. Without physically checking the guitar, it's difficult to come up with anything else that it might be other than a poorly made bridge. Don't set it up until it's locked down and don't lock it down til the strings are fully stretched. I'm sure collectively the four of us have covered almost every possibility Evan. Just sorry your kid hasn't got his dream guitar yet.

MaxS