The term 'quick quarrel' can be broken down into two crossword solutions: SPAT (4 letters) and SETTO (5 letters). SPAT is a noun meaning a brief, angry argument or disagreement. It is derived from the Old English word 'spatian, ' which means to quarrel. SETTO is a verb meaning to settle or resolve a dispute. It is derived from the Italian word 'setto, ' which means to settle. Together, these two words describe a short, heated argument that is quickly resolved.