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The lady claimed on Twitter that she was 'cuffed & had my arm a twisted up my back' after queuing outside for coffee with her friend and her friend's 13-year-old son.
The clip shows four officers standing around the woman and telling her it's not a 'reasonable' reason to travel, as she and another woman tell them they've come two miles away from Battersea, south-west London.
In the video, the woman can be heard saying: "It is not a crime to stand in a street, I'm social distancing. When I go in the shop I have a mask. I live in London."
At that point, the other woman can be heard saying: "It's two miles away, it's at the other side of the river," before telling people passing: "Everyone, if you don't live in the area you're not allowed to be here, it's against the law.
"I've come from Battersea, two miles away, and they're saying we can't be here. This is the state of the law in this country."
The woman chatting to officers can be heard saying: "Why don't you go and arrest people for knife crime?"
In a statement, the Met Police said: "We are aware of a social media video in which a woman alleges she was handcuffed.
"The woman was contacted by police and asked to provide details of the incident. However, the woman has not yet responded."
They added: "While the Government's roadmap contains positive news, the Met's message is clear - now is not the time for complacency. Throughout the city, Londoners must continue to stick to the rules which are fundamentally there to save lives.
"That means you must stay at home wherever possible. You should not be meeting with other households unless a support bubble is in place or you are meeting one other person for exercise.
"Officers across London will continue to take action against rule breakers, adopting the 'Four Es' process of engaging, explaining, encouraging and then enforcing."
According to official guidelines, people must stick to their local area, however it's not specified what is considered to be local.
LADbible has contacted the woman who posted the video for comment.
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