You could just rule that one recharge token gets removed every time the bonus is used.
The "Honeyed Words" action would thus grant one fortune on the next 3 social checks made that affects the target. The flavour text on the card also indicates that the action in itself also influences the target in some way so the action has the edge over a standard Charm test by giving both an influence and a bonus to subsequent checks.
In story mode I would probably restrict the use of Honeyed words (or probably any social action) to once per act and target. Once you've tried to smooth-talk your target it just won't work to do it again.