This could work, if its part of the original arrangement.
I've had my share of pieces that failed to get a decent ROI as well.
So, if this particular piece is so beautiful and successful, you'd like to have a recurring piece of it, but if other items are not so successful, will you be willing to offer discounts ?
I'd say while it does sound tempting to ask ...
It is better to ask these questions before starting work with a Сlient.
Everything always depends on the details of each specific project including paperwork that was carried out.
With typical contracts, I don't think graphic designers have any chance to get any "reprint fee". In most cases, the resulted print-ready file is the Client's property, ...