Ignoring Right, poor Thatcher's cue to skip the preliminaries (3,2,3,5)
I believe the answer is:
cut to the chase
'skip the preliminaries' is the definition.
'ignoring right poor thatcher's cue to' is the wordplay.
I cannot really see how this works, but
'to' is within the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for cut to the chase that I've seen before include "Start discussing important matters" , "Get to the point" , "'Stop beating about the bush!'" .)