Слово за слово

Does "Слово за слово" mean "one thing led to another"? I saw it translated that way but I can't find anything in Russian that indicates that meaning.
Заранее большое спасибо!!

Окурин взбеленился… Как он, мол, смеет вести себя неприлично при его жене? Слово за слово… знаешь, ведь, наших!..

Yes, this is a pretty close translation. This means that the conversation has deteriorated to insults, threats and sometimes - a fistfight (or worse).