quarreling; bickering
Describes a situation where people are arguing face-to-face, often with a nuance of being in close quarters or butting heads. The image is of noses almost touching during a heated exchange.
I could hear the sound of quarreling from the next room.
The meeting ended up turning into a bickering match.
Compound of 鼻 (nose) + 突き合い (poking each other), literally 'nose-poking each other', figuratively describing a close, heated quarrel.