I don't like this expression. It ranks up there with 'Meteoric Rise'.
Let's break it down, shall we?
According to Dictionary dot com:
Cease: to stop; discontinue
And: along or together with; as well as; in addition to; besides; also; moreover
Desist: to cease, as from some action or proceeding; stop
So, let me get this straight. Essentially, if you are ordered to 'Cease and desist', you are to 'stop and stop'.
Come on, everybody. Really? This doesn't make you sound authoritative. It makes you sound like an officious prick.
That is all.