A verb used to describe the action of wishing for two people to enter a relationship (whether romantic or occasionally platonic) in books, movies, tv shows or real life. Shipping can often happen involuntarily, and it is the majority of what happens on the website, Tumblr. There are some very popular ships, some unpopular, as well as often lots of controversy between ships from the same fandom.
"Do you ship Klaroline, or Steroline?"
"Omigod. I am definitely shipping Olicity."