first, deaf means you can't hear nothing.
second, go means change into, become,
we can say,
you got me going crazy.你把我逼疯了
love makes him going blind.(通常说love makes him blind,这只是为了举例子)
so you know how to interpretate "go deaf"
a person can go deaf if he heard a deafening sound.
we may go deaf when we grow old