Association or socializing; relationships and social interactions with others (can mean social life, dating, or obligations to attend social events).
会社の飲み会は付き合いで参加した。
I attended the company's drinking party out of obligation/socializing.
彼とは学生時代からの付き合いだ。
I've known him since student days.
近所付き合いを大切にする人が多い地域だ。
This is an area where many people value neighborly relations.