Order users by custom user meta

Here’s the solution. Comments included:

<?php   $results = get_users('role=director'); 

        foreach ($results as $result) {

            // Get data about each user as an object
            $user = get_userdata($result->ID); 


            // Create a flat array with only the fields we need
            $directors[$user->ID] = array(
                'dir_order'     =>  $user->exit_director_order,
                'dir_id'        =>  $user->ID,
                'dir_name'      =>  $user->first_name.' '.$user->last_name        
            );
        }

        // Sort
        sort($directors); 

        // The list
        echo '<ul id="rightcolumndirector">';

        // For each result
        foreach ($directors as $director) { 

            // Set up the variables
            $dir_id = $director['dir_id'];
            $dir_order = $director['dir_order'];
            $dir_name = $director['dir_name'];
            $dir_link = get_bloginfo('home').'/?author=".$director["dir_id']; 


            // The list items
            echo '<li>';
            echo '<a href="'.$dir_link.'" id="dir-id-'.$dir_id.'">'.$dir_name.'</a>';
            echo '</li>';


        } 

        echo '</ul>';


?>