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
A rapist has been given three life sentences for a vicious attack on an 81-year-old woman minutes after he sat next to her on a bus.
When he was starting out Anthony Joshua accidentally broke his coach's wrist — and Sean Murphy still has the scars to prove it.
The verdict stemmed from ugly scenes which marred the Capital One third-round tie at Selhurst Park in September 2015.