Fetching details from the dictionary...
errand; mission; going on an errand
messenger; bearer; errand boy; errand girl
familiar spirit
use; usage; user; trainer; tamer; handler; charmer
母の使いで買い物に出た。
I went out shopping on an errand for my mother.
上司の使いで書類を届けた。
I delivered the documents on an errand for my boss.
子供の頃はよく母の使いで買い物に行った。
When I was a child, I often went shopping as an errand for my mother.