To order or have something sent from elsewhere; to request that an item be delivered/obtained for you.
カタログで新製品を取り寄せた。
I ordered the new product from the catalog.
海外の本を図書館に取り寄せてもらった。
I had the library obtain a book from overseas.
オンラインで食材を取り寄せて、宅配してもらった。
I ordered ingredients online and had them delivered.
To pull something closer; to bring an item nearer to oneself (physically).
彼女はコップを手元に取り寄せた。
She pulled the glass closer to her.
店員に高い棚の箱を取り寄せてもらった。
I had the clerk bring down a box from a high shelf.