E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Ding-dong.
They went at it ding-dong. Fighting in good earnest. To ding is to beat or bruise (Saxon, dencgan); dong is a responsive word. One gives a ding and the other a dong.
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Din is the Anglo-Saxon dyn-van, to make a din; dinung, a dinning noise.