at loggerheads UK /æt ˈlɒɡəhɛdz/US /æt ˈlɔɡɚˌhɛdz/ prepositional phrase1 •(figurative) Unable to agree; opposing.We were really at loggerheads about what to do with the money we found on the side of the road; she said we should turn it in, I said we should keep it.
