I remember that the protagonist of Nazo no Kanojo no XX (a manga about tasting drool... yes, you heard me right) used to carry around scissors in this fashion, so perhaps this is a parody? Can't seem to find the series in mangafox though...

It makes sense that you couldn't find it on mangafox on the account that its a novel.

It should be there: "Mysterious Girlfriend X" is what you're looking for.

Tagged as parody and nazo_no_kanajo_x.