I'm beginning to have my doubts about the great age of this site.

The Fortean Times article (see link 4 posts above) says:
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Gobekli Tepe is staggeringly ancient. Carbon dating of organic matter adhering to the megaliths shows that the complex is 12,000 years old. That is to say, it was built around 10,000–9,000 BC. By comparison, Stonehenge was built around 2,000–2,500 BC. Prior to the discovery and dating of Gobekli Tepe, the most ancient megalithic complex was thought to be in Malta, dated around 3,500BC.
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Organic matter adhering to the megaliths?

How did it get there? What kind of organic matter is it? Why would it be there?

Maybe the builders set a stone upon ashes from an older campsite. I know from reading about American prehistory that ashes from campfires can sometimes be found after thousands of years. Maybe something like that happened here.

By the way, aren't there any potsherds? Archeology just doesn't seem possible without potsherds.