Enqueue Script with data attributes

Please try code given below:

function add_data_attribute($tag, $handle) {
   if ( 'chargebee' !== $handle )
    return $tag;

   return str_replace( ' src', ' data-cb-site="mydomainame" src', $tag );
}
add_filter('script_loader_tag', 'add_data_attribute', 10, 2);