Clipping. Is there a tool which cuts out polygons from a dataset?

The Clipping tool that is part of the standard ArcMAP
toolbox, ckips a layer. A, to another layer, B, discarding
those parts of a layer A which fall outside
layer B.

I want a tool which discards those parts of layer A
which fall inside layer B.

Yes, I could take union, then make a definition query
where the FID of layer B is not equal to -1.
But that is more work.

Rob Stevens, NSW.