Advance in Paris, especially (4)
I believe the answer is:
rise
'advance' is the definition.
('rise' can be a synonym of 'advance')
'in paris especially' is the wordplay.
'in' indicates the answer is hidden within the clue.
'RISE' is hidden within 'paris especially'.
(Other definitions for rise that I've seen before include "Ascent" , "Ascend" , "To swell (bread)" , "Growth" , "Get out of bed, sire" .)