JQuery hoverIntent / Drupal contrib hoverIntent module not working
Found it. First, you will most likely see an error in the logs like this
 TypeError: cfg.out is undefined

The problem in my code is not that .hoverIntent wasn't loaded, it was that that method requires two parameters. (Obvious error)

Solution: 

$(function() {
  $(".views-field-field-profile-picture").hoverIntent(teamIn, function(){});
  $(".team-name-info").mouseleave(teamOut);   
});