Significant political party face Republican expert (12)
I believe the answer is:
considerable
'significant' is the definition.
('considerable' can be similar in meaning to 'significant')
'political party face republican expert' is the wordplay.
'political party face republican' becomes 'consider' (I am not sure about this - if you are sure you should believe this answer much more).
'expert' becomes 'able' (I've seen this in other clues).
'consider'+'able'='CONSIDERABLE'
Can you help me to learn more?
(Other definitions for considerable that I've seen before include "Notably large" , "Tidy" , "A lot (of) - worthy of respect" , "worth entertaining?" , "of some importance" .)