noun
acquaintance; making someone's acquaintance
Polite noun for getting to know someone or the resulting acquaintance. Often used in set phrases like お近づきになれて嬉しいです (I'm happy to make your acquaintance).
お近づきになれて光栄です。
I'm honored to make your acquaintance.
彼とは仕事でお近づきになった。
I became acquainted with him through work.
From the honorific prefix お (o-) attached to the noun 近づき (chikazuki), the continuative form of the verb 近づく (chikazuku, 'to approach, get close'). The meaning extends from physical proximity to social acquaintance.