Destructive criminal gives cautious wave (11)

I believe the answer is:

safebreaker

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'destructive criminal' is the definition.
'safebreaker' can be an answer for 'criminal' (safebreaker is a kind of criminal). I am unsure of the 'destructive' bit.

'cautious wave' is the wordplay.
'cautious' becomes 'safe' (I've seen this in another clue).
'wave' becomes 'breaker' (breaker is a kind of wave).
'safe'+'breaker'='SAFEBREAKER'

'gives' acts as a link.

Can you help me to learn more?

I've seen this clue in The Daily Express.

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