Green’s Dictionary of Slang

slabbering bib n.

[SE slobber, to dribble + bib]

a neckband as worn by a lawyer or parson.

[UK]Grose Classical Dict. of the Vulgar Tongue ms. additions n.p.: Slabbering Bib, a Parsons or Lawyers Band.
[UK]Grose Classical Dict. of the Vulgar Tongue (2nd, 3rd edn).
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.