Cracks are visible on some of the chimneys and need to be rebuilt for safety reasons and to ensure they last, say the developers.
But campaigners say taking the chimneys down will ruin the character of the building.
A small group of people dressed as monkeys gathered outside the station today with placards claiming the company behind the development 'don't give two monkeys' for the iconic building.
More top news
Twins Laviai and Lina Nielson were so inspired by volunteering at London 2012, that their ambition ever since has been to compete at Rio.
Candidate Sadiq Khan called for Ken Livingstone to be thrown out of the party after the former mayor claimed Hitler supported Zionism.
Police are hunting for a passenger seen on the Victoria Line after a woman was sexually assaulted on the Tube.