To shake or joggle; to move unsteadily or cause something to wobble (dialectal).
Likely from the root of 'dog' with a connection to unsteady movement, or possibly from 'joggle' with the d- prefix, similar to how dialect words shift sounds.
This is a wonderfully obscure dialectal word that shows how regional British English created unique verbs—'doggle' describes that wobbly, shaky movement you'd see in something being jostled!
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