I often hear the term "servant leadership" used to describe the leadership model that should be used by church leaders. Bishop Tom Gumbleton talks about this idea in his homilies; see for example, his homily for Sept. 24, which on our Web site, we titled Hierarchs and lower-archs in the church.
When Timothy M. Dolan was named archbishop of New York in February, Catholic News Service reported that he "pledged his life, his heart and his soul to the people of the archdiocese."
At a press conference, he said to the Catholics in New York: "I am so honored, humbled and happy at the prospect of serving as your pastor."
Dolan told the priests of the archdiocese: "The priests are on the front lines. I am their servant. You can count on me to help them. ... That's not a chore; that's a choice." (I don't mean to single out Dolan; he just popped up first in the word search.)
"Servant leadership," I suppose, is most often applied to bishops and pastors, but it would also apply to lay men and women who have leadership roles in the church.