Hasten to border, finally changing direction (9)
I believe the answer is:
northeast
'direction' is the definition.
(northeast is a kind of direction)
'hasten to border finally changing' is the wordplay.
'finally' indicates one should take the final letters.
'changing' indicates anagramming the letters.
The final letter of 'border' is 'r'.
'hasten'+'to'+'r'='hastentor'
'hastentor' anagrammed gives 'NORTHEAST'.
(Other definitions for northeast that I've seen before include "No threats (anag.)" , "Bearing of 45 degrees" , "Compass point at 45 degrees" , "Direction" , "Bearing of forty-five degrees" .)