Finally, the Times replaces work from rival advocate (8)
I believe the answer is:
exponent
'rival advocate' is the definition.
'exponent' can be an answer for 'advocate' (synonyms). I am unsure of the 'rival' bit.
'finally the times replaces work' is the wordplay.
'finally' indicates one should take the final letters.
'times' becomes 'x' (multiplication sign).
'replaces work' becomes 'ponent' (I am not sure about this - if you are sure you should believe this answer much more).
The last letter of 'the' is 'e'.
'e'+'x'+'ponent'='EXPONENT'
'from' is the link.
(Other definitions for exponent that I've seen before include "Interpreter, advocate; (maths.) power" , "Promoter (of an idea or theory)" , "Symbol of power" , "skilful practitioner" , "Interpreter - performer" .)