More than two million Syrians have now fled their war-ravaged country, the UN refugee agency said Tuesday, lamenting the nearly 10-fold increase from a year ago. \"Syria is haemorrhaging women, children and men who cross borders often with little more than the clothes on their backs,\" the UNHCR said in a statement, pointing out that on September 3, 2012, it had registered just 230,671 Syrian refugees.