nuisance value

:  value, importance, or usefulness arising from a capacity to annoy, frustrate, harass, or injure atolls and islands having a high nuisance value — W. V. Pratt the business of the minor parties is to develop so great a nuisance value that one of the major parties will take over their programs — H. S. Commager alert to opportunities to institute representative suits solely for their nuisance value — G. B. Hurff