Fetching details from the dictionary...

pushing back one's opponent while locked in close quarters
having a tendency towards; being close to
駅寄りの場所に住んでいるんだ。
I live in a place near the station.
右寄りに立っていてもらえる?
Could I get you to stand more to the right?
控えめで寄りの姿勢を取るよね。
You tend to take a reserved stance.