Girl making writer run away (8)
I believe the answer is:
penelope
'girl' is the definition.
'writer run away' is the wordplay.
'writer' becomes 'pen' (something which writes).
'run away' becomes 'elope' (I've seen this before).
'pen'+'elope'='PENELOPE'
'making' is the link.
(Other definitions for penelope that I've seen before include "Girl's name" , "The wife who waited for years for Odysseus" , "Woman" , "Mrs Odysseus" , "lady" .)