We visited Wheelers as part of a night away in Whitstable for my girlfriends birthday. We had both seen the place before on a visit to Whitstable and heard it was good but hadn't tried it. Well, it didn't let us down! We were shown out the back to a cosy table (for a tall bloke like me pretty cramped), the back room is like eating in someone's lounge, so do book in advance as they can only fit a few tables of people in.
I had the rock oysters in Guiness batter followed by the skate wing / pork belly and my girlfriend had the scallops, horseradish fritters and onion soup to start then the halibut steak, cream and gravadlax dumplings for main. We shared a platter of local cheeses for dessert. The food was really very good, and both the waiter and chef were eager that we enjoyed what we were given. The lady that brought us our cheese platter took the trouble to explain what each cheese was.
We ate a couple of nights before at a posh fish restaurant here in Tunbridge Wells and I think Wheelers just edged it - lobster was a lot cheaper by comparison and you know you're eating something caught from the sea less than a mile away.
I hadn't done my research and found they were cash only and BYO alcohol so ended up making an emergency trip to the cashpoint (nextdoor) and the off licence (over the road).
The food prices were a bit on the dear side but because you can sort out your own bottle of wine for a third of the price you'd pay in other restaurants (and they don't charge corkage), you are really getting good value for money. Our two starters, mains and a cheese platter came in at about £65 for the two of us.