The two of them got into a fight over something trivial.
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Colloquial and slangy. Used for both physical scuffles (cats, dogs, kids) and verbal slugging matches (online comment fights, celebrity feuds). The internet phrase 粉丝掐架 (fěnsī qiājià) describes warring fan groups.
grammar
Separable like 打架: 掐了一架 (had a fight), 掐起架来 (started fighting). Don't say 掐架了一次.