Move quickly to central Harlesden with a girl (4)
I believe the answer is:
hope
'girl' is the definition.
'move quickly to central harlesden' is the wordplay.
'move quickly' becomes 'hop' (I can't justify this - if you can you should believe this answer much more).
'to central' indicates the central letters.
The middle letter of 'harlesden' is 'e'.
'hop'+'e'='HOPE'
'with a' is the link.
Can you help me to learn more?
(Other definitions for hope that I've seen before include "Optimism - English-born US comedian" , "Feeling of expectation or desire" , "Aspiration" , "'. . . . springs eternal in the human breast'" , "English-born US comedian, d. 2003" .)