1. Send your application off by Recorded Delivery.
2. Check on the Royal Mail website to find when your application arrived at the Belgrano.
3. Pay the extra couple of quid for 'proof of delivery' which will tell you WHO signed for your application AND WHEN! The Royal Mail will provide you with a copy of that person's signature.
4. 10 working days after that date, ring the Belgrano and tell them that you have proof that your application was delivered 10 working days earlier. Ask them whether your licence will be forwarded in accordance with their charter; viz. IMMEDIATELY! If not, then demand to know when it will be - and forward your complaint to the DETR with a copy to your MP.