Looks like an accommodation has been reached with the Taliban to control Kabul Airport. From the BBC:
Some calm has been restored to Kabul airport after the chaos of yesterday – when desperate Afghans crowded the runway preventing planes from taking off. Along with the arrival of hundreds more troops, more military flights have been landing and departing. The US says it soon aims to fly out more than 5,000 people a day – and the UK up to 1,000. The British evacuation is being overseen by Vice Admiral Sir Ben Key, who estimates at least 6,000 UK nationals and Afghans who worked for the British are now waiting to leave. Though he says many will still have to make their own way to the airport past Taliban checkpoints.
"They are now controlling all of the access points around the airport so at a tactical level around the gates we are having to have a practical engagement with the Taliban commanders," he said.
"We're only a day and a half into this new situation, they have seemed acquiescent and understanding of what we're trying to achieve," he added.
There are reports that some Afghans are still finding it hard to get past Taliban checkpoints. Others are in hiding waiting to find out if they'll be given visas to fly out. And it's still not clear how long this escape route will remain open. That largely depends on the Taliban, who've set a deadline of 11 September for all foreign troops to leave.
The window of opportunity is closing fast.