Stretch from detective's overdue (6)
I believe the answer is:
dilate
'stretch' is the definition.
(thesaurus)
'detective's overdue' is the wordplay.
'detective' becomes 'di' (Detective Inspector abbreviation**).
'overdue' becomes 'late' ('late' can be similar in meaning to 'overdue').
'di'+'late'='DILATE'
'from' acts as a link.
(Other definitions for dilate that I've seen before include "Become wider, pupil of the eye perhaps" , "Speak or write at length - widen" , "Widen, distend" , "Make or become wider" , "Make wider or larger" .)