Fish and Chips Up'er?
Rock and A Hard Plaice?
Reference: Blizzie
That'll never work!
Codrect! *groan* 
Skate'n'Fin Nice.
Skate Middleton?
Seasaw Marjory Craw
Reference:
I suggested Arrrrrrrr Sole
Our Sole might be better
Mr Chips?
Reference: Blizzie
Skate Middleton?
Hahahaha! Reference: Ding Dong
Mr Chips?
I like it. There`s a chippy near me called that. 
Thanks everyone ............just reading them out to my husband..........he's tickled pink.
Reference:
Mr Chips?
I like that but we have one close by of that name.I did suggest 'Tartare Mr Chips'
Fryer Tuck Inn
Plenty More Fish in the Fridge?
Soozy's Fishnets.
Reference:
Soozy's Fishnets.
ha ha velvet I like this one sorry Soozy 
Reference:
Soozy's Fishnets.
Love it velvet
I like it too - the thing is the manageress who'll probably be running it is a Sue too ........maybe we cold go for Mick's Tackle?
Reference:
I like it. There`s a chippy near me called that.
Was there a chippy called that up the end of Sauchihall St near the Mitchell ????
Reference:
Totally battered
I'm crap at thinking up names... but of the ones you listed in your OP Sooz I really really like this one!
Op-Perch-Tuna-ty
Turbot Charged
Just For The Halibut
The Dab Hand
I nicked 'em all off the web.
Turbot Charged
Just For The Halibut
The Dab Hand
I nicked 'em all off the web.
Reference: Ding Dong
Was there a chippy called that up the end of Sauchihall St near the Mitchell ????
Yes. Right on the corner. I think it`s still there Ding Dong.
Mackeral The Knife
There`s A Plaice For Us.
Getting desperate now.
There`s A Plaice For Us.
Getting desperate now.
For Cods Skate, I've Haddock Nuff! 
oooooooooooh just thought of another ...................The Batter Platter
Reference:
The Batter Platter
I like that Soozy!
Blizzie`s losing the plot.
Reference:
For Cods Skate, I've Haddock Nuff!
you sound like a fish out of water 
Reference: pengy
you sound like a fish out of water
Reference: Scotty
Blizzie`s losing the plot.
Losing?
You're too kind!
Reference:
a fish out of water
I'm loving that name!
What about The Lard Shop? 
There's so many good/funny names here I don't how you'll be able to choose lol. All I can come up with is Fishy Business
Sir Fish Hunt, for Your Needs?
Chips R Us
The Coal(y) Miner
Load a' Pollocks
Pile o' Carp
Monk(fish)'s Habit
Tower of Barbel
I know, I'm a genius.
Load a' Pollocks
Pile o' Carp
Monk(fish)'s Habit
Tower of Barbel
I know, I'm a genius.
Reference: Blizzie
Sir Fish Hunt, for Your Needs?
Took me a while but... Reference:
There's so many good/funny names here I don't how you'll be able to choose lol. All I can come up with is Fishy Business
I like that one YR