Green’s Dictionary of Slang

Uncle Nabs n.

also Betty Nabs, Mr Nabs
[nab n.2 (1)]

(US black) the police.

D. Burley N.Y. Amsterdam Star-News 21 Mar. 16: ‘In brooms a Mr Nabs and lays his gims on me ’.
D. Burley N.Y. Amsterdam Star-News 9 May 12: ‘Betty Nab,’ the police.
[US]E. Folb Runnin’ Down Some Lines 67: Characteristic of the police-related lexicon is an ironic, if sometimes grim, humor that is embodied in names like [...] Uncle Nab.