Green’s Dictionary of Slang

Lincoln’s Inn n.

[rhy. sl.]

1. a hand [fin n.1 (1)].

[US]St Vincent Troubridge ‘Some Notes on Rhyming Argot’ in AS XXI:1 Feb. 47: strong and thin. Fin. (Origin uncertain, probably English.) Agreed, but rare compared to Lincoln’s Inn (one of the English legal Inns of Court in London).
[UK]Dodson & Saczek Dict. of Cockney Rhy. Sl.

2. a £5 note [fin n.2 (1)].

[US]Wentworth & Flexner DAS 648/2: Lincoln’s Inn – five dollars.
[UK]Dodson & Saczek Dict. of Cockney Rhy. Sl.

3. gin.

[UK]Dodson & Saczek Dict. of Cockney Rhy. Sl.