susan, do you make quilts with 'from the store' finish, or are you in the prewashers group?
I am quilting as I go my 365 challenge quilt blocks, and have used yellow, pink, and blue Clover Chaco Liner several dozen times now and the dust brushes off with all colors. I give it a scrub with leftover batting.
so that is why the question about prewashing, if maybe the problem is the fabric and not the liner?