The Collaborative International Dictionary of English v.0.48:
Scrag \Scrag\ (skr[a^]g), n. [Cf. dial. Sw. skraka a great dry
tree, a long, lean man, Gael. sgreagach dry, shriveled,
rocky. See Shrink, and cf. Scrog, Shrag, n.]
1. Something thin, lean, or rough; a bony piece; especially,
a bony neckpiece of meat; hence, humorously or in
contempt, the neck.
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Lady MacScrew, who . . . serves up a scrag of mutton
on silver. --Thackeray.
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2. A rawboned person. [Low] --Halliwell.
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3. A ragged, stunted tree or branch.
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Scrag whale (Zool.), a North Atlantic whalebone whale
(Agaphelus gibbosus). By some it is considered the young
of the right whale.
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