Hello Jerome,
thanks for the hint in the right direction. Now all is simple  and is working like a charm!!
 and is working like a charm!!
For the community and as a reference I share the php code of that little plugin. It is really easy to adapt it to any need.
<?php
/**
 * @author     CamModelTools
 * @copyright  (C) 2021-2021 CamModelTools. All rights reserved.
 * @license    GNU/GPLv3 http://www.gnu.org/licenses/gpl-3.0.html
 */
defined('_JEXEC') or die('Restricted access');
class plgHikaserial<nameofplugin> extends hikaserialPlugin {
	protected $type = 'ext';
	protected $multiple = false;
	protected $name = '<nameofplugin>';
	public function onBeforeSubscriptionCreate(&$subscription, &$do) {
		/* echo '<pre>'; var_dump($subscription->orders[0]->cart->products[0]->name_of_extra_field); echo '</pre>'; */
		$special_data = @$subscription->orders[0]->cart->products[0]->name_of_extra_field;
		if(!empty($special_data))
		{
			if(empty($subscription->subscription_extradata))
				$subscription->subscription_extradata = array();
			$subscription->subscription_extradata['name_of_extra_field'] = $special_data;
		}
	}
}
Replace 
<nameofplugin> with the name of the plugin; replace 
name_of_extra_field with the name of your user defined field.
This boilerplate code works with user defined fields on item level.
I hope it will be of any help.
Thx
Sven