I've been a devotee to the Nike compression sports bra for awhile now. I probably have about 10 in my drawer in all sorts of colors and fancy designs. 
I take really good care of them: cold water wash, hang dry, NEVER ever putting them in the dryer. Yet, recently they started chaffing me, badly. I even Body Glided myself up the other day before my long run on Sunday and THAT didn't help.
I think it is time to make a change. Is there a bra that you recommend?