After fine, daughter leaves city — does a runner! (5)
I believe the answer is:
'does a runner' is the definition.
(to do a runner is to flee or run away)
'after fine daughter leaves city' is the wordplay.
'after fine' becomes 'f' (abbreviation. I am not sure about the 'after' bit.).
'daughter' becomes 'd' (genealogical abbreviation).
'leaves' is a deletion indicator.
'city' becomes 'Leeds' (city in England).
'leeds' with 'd' taken away is 'lees'.
Can you help me to learn more?
(Other definitions for flees that I've seen before include "flies" , "Runs away" .)