Evidently immodest about quashing international flare-up (8)
I believe the answer is:
eruption
'flare-up' is the definition.
(thesaurus)
'evidently immodest about quashing international' is the wordplay.
I cannot really see how this works, but
'about' could be 'on' (as in a book 'on' a certain topic) and 'on' is present in the answer.
'international' could be 'i' (abbreviation eg in IMF) and 'i' is found within the answer.
The remaining letters 'erupt' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for eruption that I've seen before include "Volcanic outburst" , "Breaking out (of spots, lava etc)" , "A violent breaking out, as of volcano" , "Rash - outburst" , "Violent discharge of volcanic material" .)