Quarrel? It’s a right ding-dong! (5)
I believe the answer is:
arrow
'quarrel?' is the definition.
(quarrel is a kind of arrow)
'a right ding-dong' is the wordplay.
'right' becomes 'r' (common abbreviation).
'ding dong' becomes 'row' (ding dong means a disagreement or row).
'a'+'r'+'row'='ARROW'
'it's' is the link.
(Other definitions for arrow that I've seen before include "marker" , "Arm" , "Missile of the archer" , "one found near Bow?" , "Direction indicator" .)