Green’s Dictionary of Slang

sab n.

[the film star Sabu (Dastagir) (1924–63), ‘the Elephant Boy’, whose hair was thus cut]

(W.I.) a haircut in which the back of the hair is rounded rather than tapered.

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[WI]C. Hyatt When Me Was A Boy 146: Them did have a film up deh name ‘Thief of Bagdad’. [...] an it did have een a young Indian actor name Sabu. Well sah that little youth start a fashion inna this town that las’ for years to come. A hairstyle call the Sab. Man stop part them hair an grow it high wid the neck back cut square [...] Nuh more short back an sides [...] Tell Mr Thomas ah want a ‘Sab’.