socializing; association; fellowship
Polite noun for social interaction, companionship, or keeping company with someone. Often used in phrases like お付き合いする (to socialize with) or お付き合いを願う (to ask for someone's company).
See also: 付き合い
I can't join you tonight.
Thank you for your long-standing association.
Polite form of 付き合い (つきあい, 'socializing'), formed by adding the honorific prefix お. 付き合い itself derives from the verb 付き合う (つきあう, 'to associate with').