From Longman Dictionary of Contemporary Englishexchange blows (with somebody)exchange blows (with somebody)if two people exchange blows, they hit each other → exchange
Examples from the Corpus
exchange blows (with somebody)• They rolled over and over on the damp moss, exchanging blows and vile words until finally Topaz's strength ran out.• Two figures were battling furiously, exchanging blows as they materialized.• While the men exchanged blows the girl struck Farini from behind with a blunt instrument. 