This won't happen to a great extent. London has been a global financial centre for eons and that will continue to be the case post-Brexit. Some revenue will leave but the vast majority of the financial services sector and it's ancillary structures (accounting, law, consulting, etc) will continue to be, for better or worse, a large part of the UK economy. You're just not going to see investment banks, hedge funds, investment management firms, etc. up sticks and move their entire operation to mainland Europe en-masse. Some smaller firms will do so but they will be the exception rather than the norm.
It's a great example of the cognitive dissonance in the Conservative party that the same party who are now reassuring us that financial institutions won't move abroad due to Brexit is the same party who have told us for years that we have to have low taxes and light regulations for financial institutions because these 'wealth creators' are highly mobile and will move abroad at the drop of a hat if taxes go up or regulations become stricter.
It's a great example of the cognitive dissonance in the Conservative party that the same party who are now reassuring us that financial institutions won't move abroad due to Brexit is the same party who have told us for years that we have to have low taxes and light regulations for financial institutions because these 'wealth creators' are highly mobile and will move abroad at the drop of a hat if taxes go up or regulations become stricter.