fight like cat and dog

• fight like cats and dogs (US)

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fight like cat and dog (third-person singular simple present fights like cat and dog, present participle fighting like cat and dog, simple past and past participle fought like cat and dog)

1. (UK, simile) To fight frequently or irreconcilably.

• play cat and mouse

• “fight like cat and dog” in Longman Dictionary of Contemporary English, Longman.
• “fight like cat and dog” (UK) in Macmillan English Dictionary.
• “fight like cat and dog”, in Cambridge English Dictionary, Cambridge, Cambridgeshire: Cambridge University Press, 1999–present.