To spend time with someone or have a relationship with them; to keep company, get along with, or date someone.
彼女とはもう三年付き合っている。
I've been dating her for three years.
新しいクラスメートとはまだあまり付き合っていない。
I haven't really gotten close with the new classmates yet.
彼は誰とでも上手に付き合える性格だ。
He's the type of person who gets along well with everyone.
社長と付き合うには礼儀が大切だ。
When associating with the company president, manners are important.
To go along with someone or something (follow someone's lead), to accompany someone, or to put up with something for someone; to compromise or go along.
上司の提案に付き合って会議に出た。
I went along with my boss's suggestion and attended the meeting.
子どもが遊園地に行きたいと言うので、一日付き合ってあげた。
The child wanted to go to the amusement park, so I spent the day going along with them.
みんなの意見に全部付き合う必要はないよ。
You don't have to go along with everyone's opinion.