In a doggish manner; in a way that is dog-like or characteristic of a dog's behavior.
From doggish (the adjective) plus the adverb-forming suffix -ly, which converts adjectives into adverbs that describe how something is done.
Adding -ly to an adjective creates an adverb showing HOW something happens—so 'doggishly' describes the manner of action, like 'He doggishly refused to leave his master's side'!
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