Careless tweets have landed a host of celebrities in trouble in the past with comedian Alan Davies, Sir Bob Geldof's daughter Peaches and Sally Bercow all finding themselves in legal difficulties due to their online posts.
Social media users have also found themselves in contempt of a court - nine people admitted naming the woman raped by footballer Ched Evans on Facebook and Twitter.
They were all told to pay the victim £624 each.
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Andreea Cristea, 29, remains in a critical condition after being rescued from the Thames after a terror attack along Westminster Bridge.
The Prime Minister has praised the former soldier's "huge professionalism" in trying to save the life of Pc Keith Palmer.
The man who carried out the Westminster attack is thought to be British born and was once investigated by MI5, the Prime Minister has said.