I would check the bottom of the fan and make sure the two bottom tabs are seated into the two recesses that hold the bottom in place....

The top has the two tabs with grooves running horizontally that match two on the radiator support.. as mentioned, the long tab on the clip goes towards the engine.... there should be no play in the radiator that would let it move if the bottom and top are where they belong......


EDIT: I am assuming(?) that you mean the fan and not the actual radiator(since it is bolted in)...