Measure work unit by late finishing Detective Rose? (7)
I believe the answer is:
emerged
'rose?' is the definition.
(emerging is a kind of rising)
'measure work unit by late finishing detective' is the wordplay.
'measure' becomes 'em' (em is a kind of measure).
'work unit' becomes 'erg' (erg is a kind of work unit).
'by' is a charade indicator (letters next to each other).
'late' becomes 'd'.
'finishing' suggests the final letters (the letter which finishes the word).
The last letter of 'detective' is 'e'.
'd' after 'e' is 'ed'.
'em'+'erg'+'ed'='EMERGED'
(Other definitions for emerged that I've seen before include "Came into view or became apparent" , "Transpired" , "Came out, became known" , "Deem Reg to have come out" , "Came forth" .)