Chapter 24 is the longest, sustained ancestor story in scripture.  The sole conflict is whether the servant will be successful with his commission.  It is important to note that the outcome is unsure, even to Abraham who sees the getting of a wife from his ancestral home to represent his covenant God. There is a clear sense that how humans will behave is unknown and unpredictable, even to God.

At this point in Abraham’s long life, he us unable to act himself, but is forced to trust his servant to secure a wife, and thus also to continue the covenant with God.  As an old man, his future is not in his own hands, but relies on the trustworthiness of his representative (servant).

Part of this story is its genealogy certifying the family of Abraham.  Abraham insists that the servant find a wife not in Canaan, but by going to the ancestral homeland, Haran. Rebekah is the granddaughter of Nahor, Abraham’s brother. Her father, Bethuel, and Isaac are cousins.  Laban, who negotiates with the Abraham’s servant, is Rebekah’s brother. (Laban will reappear later when Isaac’s son, Jacob, comes looking for a bride.) 

The story of the wooing of Rebekah continues God’s covenant with Abraham and certifies it with ancestral genealogy—God working through human relationship over time.  The other part of the story is how Abraham is forced to depend on the faithfulness of his servant. He cannot do the work himself.  

Resources
Genesis 12-36.  A Continental Commentary.  Claus Westerman.  Fortress Press Ed.: Minneapolis.  1995. 
The New Interpreter’s Bible. Vol. I.  Abingdon P.: 1994.