Well, after 1 1/2 hrs of FREE diagnostic work (thank you so much, Cheshire Oaks Audi!), it would appear the the problem with my air-conditioning is a temperature sender G263, part number 4B0820539, cost about £20. It was giving a temperature of -6 deg, which was causing the compressor to shut-down. The total cost for them to replace this part was £127.63, but because it doesn't need a re-gas in fitting, the Service Manager thought that I should be able to replace it myself. He also thought that I may have dislodged a wire when I have had the glove-box out, recently? They also checked the refrigerant level and it was fine .... no need for a re-charge! I ordered the part anyway, just so that "Cheshire Oaks Audi" would be getting SOMETHING out of it! Oh well, it is looking like today WAS my lucky day!
David