The Tarkhan Dress: The World's Oldest Extant Woven Garment

A linen dress found by the British Egyptologist Flinders Petrie in 1913 was thought to be the oldest woven garment known, but until recently scientists were unable to determine its age. Radiocarbon dating has now established that the dress was made approximately 5,000 years ago.

 https://www.ucl.ac.uk/news/news-articles/0216/150216-tarkhan-dress

Bronze Age Textiles Discovered in Eastern England

"Excavations,  30 miles north-west of Cambridge, have unearthed the earliest examples of superfine textiles ever found in Britain. They are also among the most finely-made Bronze Age fabrics ever discovered in Europe as a whole – and are of huge international significance."

 http://www.independent.co.uk/news/science/archaeology/vast-treasure-trove-of-fine-textiles-shows-importance-of-fashion-to-bronze-age-britons-a7135786.html