Crossword Genius

Cute siren went off for very long time (9)

Ross

I believe the answer is:

centuries

I'm a little stuck... Click here to teach me more about this clue!

'for very long time' is the definition.
I can't judge whether this defines the answer.

'cute siren went' is the wordplay.
'went' indicates an anagram ('go' can mean move).
'cute'+'siren'='cutesiren'
'cutesiren' with letters rearranged gives 'CENTURIES'.

'off' acts as a link.

Can you help me to learn more?

(Other definitions for centuries that I've seen before include "Censure it for hundreds of years" , "Periods of 100 years" .)

I've seen this clue in The Mirror.
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