Relies on the conclusion - hurried up about it (7)
I believe the answer is:
depends
'relies' is the definition.
(I've seen this in another clue)
'the conclusion hurried up about it' is the wordplay.
'the conclusion' becomes 'end' (something's conclusion is its end).
'hurried' becomes 'sped' ('speed' can be a synonym of 'hurry').
'up' is a reversal indicator (in down clue: letters go upwards).
'about it' indicates putting letters inside (some letters go around or about others).
'sped' reversed gives 'deps'.
'end' placed within 'deps' is 'DEPENDS'.
'on' acts as a link.
(Other definitions for depends that I've seen before include "Is contingent upon" , "Relies for support" , "Relies or hangs on" , "Counts (on)" .)