NYPD case to get resolved having been shortened (10)

I believe the answer is:

syncopated

'having been shortened' is the definition.

'nypd case to get resolved' is the wordplay.
'get resolved' is an anagram indicator.
'nypd'+'case'+'to'='nypdcaseto'
'nypdcaseto' anagrammed gives 'SYNCOPATED'.

(Other definitions for syncopated that I've seen before include "involving a time of rhythmic variety" , "Off the beat" .)

I've seen this clue in The Guardian.

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