Green’s Dictionary of Slang

deep sea n.

1. stew (fish need not be a component; the image is of ingredients that ‘swim’).

[US](con. 1914) S.J. Simonsen Soldier Bill 11: Bill learned at his first meal that [...] ‘deep sea’ meant stew.

2. see all at sea under sea n.

SE in slang uses

In compounds

deep sea chef

(US) a dishwasher.

[US]V.W. Saul ‘Vocab. of Bums’ in AS IV:5 339: Deep sea chef—A dishwasher.
[US]Wentworth & Flexner DAS.
deep sea fisherman (also deep sea gambler)

a confidence trickster working the transatlantic liners.

[US]Sun (NY) 27 July 40/1: Things are pretty tough. Nearly all the deep sea bunch are in London [...] every gun mowl [sic] America ever boasted of was over there where the getting’s good.
[US]D. Maurer Big Con 295: deep-sea gambler. See boat-rider.
[UK]R. Fabian Anatomy of Crime 193: Deep-Sea Fisherman: Card-sharper on a liner.
deep sea turkey (US)

(also submarine turkey) salmon.

L. McCoy letter 29 Sept. at BrownCountyGeneaology.com 🌐 Also, what also is known in the states as corned beef but here it’s ‘corned willie’ or ‘old charley’; also salmon is ‘deep sea turkey.’.
[US]DN V 111: Deep-sea turkey, n. Salmon.
[US]Waukesha (WI) Freeman 24 Jan. 3?/3: ‘Submarine turkey’ – salmon steak.
[US]P. Kendall Dict. Service Sl. n.p.: deep-sea turkey . . . salmon.
[US]Outlook (Waverly, NY) (Nov.) II:12: We will be particularly mindful of you all, therefore, [...] when we sit down to our Thanksgiving dinner of ‘deep-sea turkey’.
(ref. to 1917) Brief Hist. of Company C (87th Division, 346th Infantry) 🌐 There being no ham on hand, Great Gobs of Goldfish or Deep Sea Turkey were immediately dispatched with a quantity of beans as a change from the regular army food.