How can you print the field class you entered in a View 's style settings?
You can add a class through the views interface:


Go to views ui
Under "Fields", click on the field you want to change
Click on "Style Setting"
Choose "Customize Field HTML"
Click "CSS Class" and enter your new css class


Alternatively, you can also achieve this through theme pre rendering. 


View machine name: "your_view_name" 
Field machine name: 'yourfield'
New class: "your_new_css_class"


Add to the file template.php in your theme directory: 

function yourtheme_views_pre_render(&amp;$view) {

  if ($view-&gt;name == "your_view_name") {
     $view-&gt;field['yourfield']-&gt;options['element_class'] = "your_new_css_class";
  }

}


To debug, download and enable the devel module (http://drupal.org/project/devel), and write out the variables:

function yourtheme_views_pre_render(&amp;$view) {
    if ($view-&gt;name == "your_view_name") {
        drupal_debug($view-&gt;field['yourfield']-&gt;options['element_class']);
    }
}


The output will appear in tmp/drupal_debug.txt (depending on how you configured your tmp directory).