Self-conceit being dispelled, see out engagement (8)
I believe the answer is:
conflict
'engagement' is the definition.
(thesaurus)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for conflict that I've seen before include "Difference of opinion, dispute" , "Friction or strife" , "Discord, warfare" , "Clash between two opposing groups" , "Fighting" .)