I've found it well worth phoning the CAA, at frequent intervals! Sometimes it will get you to the TOP of the pile, if there's been a genuine mistake. Be polite, but you've waited too long, phone.
Stik,
That was uncalled for. He wasn't whining, he was complaining and wondering what to do, and quite justifiably after that long. What do you suggest he do otherwise? Sit there going: "Oh dear, I applied for my licence and haven't got it, but never mind, I'll smile regardless, there are people worse off than me and starving in Africa, and the sun's shining and the birds are singing and all's right with the world"? Or adopt a British stiff upper lip: "No licence, but that's OK chaps, I can take it". There are some things that SHOULD be complained about, and IMHO this - or any other obvious incompetence - is one of them!!!!!