Unfinished conversation with a working escort (8)
I believe the answer is:
chaperon
'escort' is the definition.
(chaperoning is a kind of escorting)
'unfinished conversation with a working' is the wordplay.
'unfinished' means to remove the last letter.
'conversation' becomes 'chat' (chat is a kind of conversation).
'with' is a charade indicator (letters next to each other).
'a' becomes 'per'.
'working' becomes 'on'.
'chat' with its last letter removed is 'cha'.
'cha'+'per'+'on'='CHAPERON'
(Other definitions for chaperon that I've seen before include "Attendant" , "Escort" , "One accompanies the vulnerable" , "Accompany and look after" , "Preach on about older woman supervisor" .)