Going up, for instance, from French border (4)
I believe the answer is:
edge
'border' is the definition.
('edge' can be a synonym of 'border')
'going up for instance from french' is the wordplay.
'going up' says the letters should be written backwards.
'for instance' becomes 'eg' ('e.g.' can be a synonym of 'for instance').
'from french' becomes 'de' (French for 'from').
'eg'+'de'='egde'
'egde' back-to-front is 'EDGE'.
(Other definitions for edge that I've seen before include "Sharpness of mind" , "Creep" , "Hem" , "Border - meeting place" , "Skirt" .)