The plum duff is a delicacy which originated in the north of England, probably early in the last century.
It was a kind of plum pudding, boiled in a bag, but the “plums” in the dough, raisins or currants, lacked the variety expected in a pudding.
Why duff?
Well, in the north of England, dough then rhymed with rough and tough.
In fact, though still so pronounced, the pudding was sometimes spelled plum dough.