My wife says in the 60's she used Floods who had a wet fish shop at Eaton Rd/Elms Vale.
When I moved to Dover I was so surprised no wet fish shop. Have used Griggs at Hythe and usually go there very early when the days catch arrives. Always prepared to help with wnat you actually want.
I remember getting some fantastic Cod Cutlets for when some freinds came down from the "centre of England" (yes from Meriden) and I grilled them slowly with butter retaining the wondeful fresh sea flavour. They had never had fish so good.
For those who like cooking (as I do) Griggs website
http://www.griggsofhythe.com has a recipe page and currently show Poached fillet of Brill and Pan Fried fillets of Red Mullet.