Ousting of obvious republican in the way (9)
I believe the answer is:
overthrow
'ousting' is the definition.
(thesaurus)
'obvious republican in the way' is the wordplay.
'obvious' becomes 'overt' (similar in meaning).
'republican in' becomes 'hro' (I can't justify this - if you can you should give a lot more credence to this answer).
'the way' becomes 'w' (Compass direction - West).
'overt'+'hro'+'w'='OVERTHROW'
'of' acts as a link.
Can you help me to learn more?
(Other definitions for overthrow that I've seen before include "Bring extra" , "Remove forcibly from power" , "Unseat" , "Extra run perhaps" , "Vanquish" .)