Cornets' awful racket in replaying of past event (14)

I believe the answer is:

reconstruction

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'replaying of past event' is the definition.
I can't judge whether this defines the answer.

'cornets' awful racket in' is the wordplay.
'awful' is an anagram indicator.
'racket' becomes 'ruction' (I've seen this before).
'in' means one lot of letters goes inside another.
'cornets' with letters rearranged gives 'econstr'.
'econstr' put inside 'ruction' is 'RECONSTRUCTION'.

Can you help me to learn more?

(Other definitions for reconstruction that I've seen before include "In period following Civil War" , "copy" , "Something built again; reorganisation" .)

I've seen this clue in The Daily Express.

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