It has the head of a spider, and the body of a spider, but it's a baby...
Okay, it's not a baby. It's a goat. According to this article, a bio-tech company and the US Army have figured out a way to take the spider out of the whole spider-web process:
They spliced silk-making genes into the mammary gland cells of a cow and the kidney cells of a hamster and persuaded the cells to make spider's silk - and then ooze it out of the cells so that it could be collected. The researchers have called the product BioSteel, and plan a herd of genetically modified goats to produce it in their milk.