From Longman Dictionary of Contemporary Englishtrade insults/blows etctrade insults/blows etcEACH OTHERto insult or hit each other during an argument or fight → trade
Examples from the Corpus
trade insults/blows etc• The two camps traded insults, moans and jeers, threatening occasionally to turn the proceedings into an intramural debate.• He was more than prepared to trade blows with the former circus act Benichou. 