Girl, a Pole, coming to the west (4)
I believe the answer is:
dora
'girl' is the definition.
(girl's name)
'a pole coming to the west' is the wordplay.
'pole' becomes 'rod' (synonyms).
'coming to the west' shows that the letters should be reversed in order (letters written right to left or \'east to west\').
'a'+'rod'='arod'
'arod' in reverse letter order is 'DORA'.
(Other definitions for dora that I've seen before include "David Copperfield's 'child-wife'" , "Bryan" , "This girl" .)