Listen to the end of our bust-up in anger (4,3)
I believe the answer is:
hear out
'listen to the end' is the definition.
(to hear something out is to listen to it in full)
'our bust-up in anger' is the wordplay.
'bust-up' is an anagram indicator (letters busted up).
'in' means one lot of letters goes inside another.
'anger' becomes 'heat' (I've seen this in another clue).
'our' with letters rearranged gives 'rou'.
'rou' going within 'heat' is 'HEAR OUT'.
'of' is the link.
(Other definitions for hear out that I've seen before include "Thoreau (anag)" , "Take everything in" , "Listen to everything" .)