I’m a firm believer in the saying ‘if it’s not broke(n), don’t fix it’. Along the same lines, I’m not sure renaming the Clock Tower (colloquially known as Big Ben to the world) to Elizabeth Tower is the best thing to do, even if the change mirrors an honour bestowed on queen Victoria — the only other British monarch to celebrate a diamond jubilee back in 1897 — who gives her name to The Victoria Tower at the west end of parliament.
It certainly is a lovely sentiment, but because Big Ben is a national icon perhaps renaming any one of the beautiful gardens or parks in London as Elizabeth Gardens or Queen Elizabeth Gardens would be better suited to the occasion. A park would serve as a living memorial to the Queen. Not to mention, although having gone through the parliamentary name change process, the tower will forever be known as Big Ben to all.