I produce honey in Regents Park which is delicious. You can find the suppliers on my website http://www.purefood.co.uk. There aren't any in SE1 at the moment.
Konstam, the restaurant mentioned in another post, has bought some honey this year.
All of this year's stock is nearly gone so if you do want some you will have to get it soon.
What a lovely website and video! My grandfather used to keep bees and I have such fond memories of helping him. Apart from having the honey we made candles with the wax and I could not get enough of bee stories and their fascinating behaviour. I'd love to visit you in Regents park.