According to this guide I can add classes to inputs or labels, however I'm unsure how to get it work. The example make me feel like the code below should work, but clearly it's wrong.
add_filter( 'wpmem_register_form_rows', 'my_register_form_rows_filter', 10, 2 );
function my_register_form_rows_filter( $rows, $toggle )
{
zip => array (
'field_before' => '<div class="div_text new_class">'
)
return $rows;
}