D7 Execute javascript on views exposed filters AJAX submit (Dropkick)
You need to use ajaxcomplete function of jquery to perform any script after the ajax call. I have not worked on "Dropkick" module, but I have implemented "Selectbox" jquery plugin in my site to format the dropdown.

May be it will help you.

$(document).ajaxComplete(function(e, xhr, settings) {

  if (settings.url == Drupal.settings.basePath + "?q=views/ajax" || settings.url == Drupal.settings.basePath + "views/ajax" || settings.url == Drupal.settings.basePath + "?q=system/ajax" ||  settings.url == Drupal.settings.basePath + "system/ajax") {       
 // enable selectBox jQuery plugin for all &lt;select&gt; elements
    $("SELECT").selectBox();
    //Drupal.attachbehaviours();   

  }       
});