Not a crime to be coolly carried out (5)
I believe the answer is:
arson
'out' is the definition.
The answer and definition can be both acts as well as being singular nouns.
Maybe they are linked in a way I don't understand?
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for arson that I've seen before include "Act of a pyromaniac" , "A burning crime" , "major crime" , "Fire-raising crime" , "Crime of fire setting" .)