Now I know this is going to sound strange to you girls, but there is always a substitute lurking in the kitche.
I learned a long time ago that kitchen shears need to be washed after cutting certain items (chicken is one) and the best oit to use for keeping the pin on which the blades ride from rusting or losing the ability to open and close...use some of your good cooking oit. I use Canola oil, so a drop of that does wonders for scissors. It is safe and sanitary to use with food. So why not for the rotary cutter if the WD40 is not handy?
I stopped by the hardware dept and bought the smallest size WD-40 to keep in my sewing center. It will always be there when I need it.