Green’s Dictionary of Slang

dumpling n.

1. in pl., the female breasts; thus (Aus.) her dumplings are boiling over, her breasts are falling out of a low-cut dress.

[UK]N. Ward London Terraefilius II 15: Learn how to tread out your Toes, riggle your Bum, thrust out your Dumplins.
[UK]N. Ward Amorous Bugbears 24: I [...] talk’d lusheously to a second, patted the Dumplins of a third.
[UK]Farmer Vocabula Amatoria (1966) 39: Blagues a tabac, m. Small breasts; ‘dumplings’.

2. a native of East Anglia[such individuals are supposed to be excessively fond of dumplings].

[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Dumplin, a short thick man or woman. Norfolk dumplin; a jeering appellation of a Norfolk man, dumplins being a favourite kind of food in that county.
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.
[UK]‘Epistle from Joe Muggins’s Dog’ in Era (London) 16 June 5/3: [T]hese Suffolk dumplins do kum it grand when thay’ve harf a chance.

3. (US) an attractive (young) woman.

[US]D. Jenkins Semi-Tough 98: [S]he pushed a whole blouse full of lungs against my arm and licked my ear again and left. [. . . .] ‘Anybody got any idea what that dumplin’ resembles in a better light?’ I asked.

4. a term of endearment.

[US]T. Wolff ‘Coming Attractions’ in Back in the World 5: ‘Sorry I woke you up.’ ‘That’s what we’re here for, dumpling ’.

SE in slang uses

In compounds

dumpling depot (n.) [boxing jargon]

the stomach.

[UK]Westmoreland Gaz. 7 June 1/5: Titus received a wind-expelling push in his dumpling depot from Abrawang’s fishy fist.
[UK]G.W.M. Reynolds Mysteries of London I 36/2: And because you would’nt let him he doubled you up with a wallop in your dumpling depot, did’nt he?
[UK]Hotten Dict. of Modern Sl. etc.
[UK]Hotten Sl. Dict.
[UK]Hants. Advertiser 24 Dec. 7/6: I drank the lotion, and was seized ten minutes later with ’orrid pangs of pain in my dumpling-depot.
[[Aus]Truth (Sydney) 26 May 4/5: He [i.e. Sir Roger Tichborne] was captured and eaten by a mob of ‘Myall’ blacks [...] who nearly split themselves wide open trying to surround more of the British-bred beef than their ’possum depots were licensed to hold].
dumpling head (n.)

a fool, thus dumpling-headed, foolish.

[UK]Harlot’s Progress 52: Ye Bundle of Guts, ye Dumpling Head, / Ye’ve sent the Girl among the Dead!
[UK]Progress of a Rake 12: The Girl, with whom our Dick was merry / [...] / Known by the name of Little Teazer, / Eere Dumpling-headed Dick did squeeze her.