Green’s Dictionary of Slang

caster n.1

[ety. unknown, but F&H suggest a link to castor n., presumably in a sense of a covering]

(UK Und.) a cloak.

[UK]Harman Caveat for Common Cursetours in Viles & Furnivall (1907) 82: a caster, a cloke.
[UK]Groundworke of Conny-catching n.p.: [as cit. c.1566].
[UK]Rowlands Martin Mark-all 42: My Caster and Commission shall serue us both to maund.
[UK]Dekker Canting Song in Eng. Villainies (8th edn) O2: Though I no Caster wore, nor Commission, no nor slate.
[UK]Dekker Canters Dict. Eng. Villainies (9th edn).
[UK]R. Holme Academy of Armory Ch. iii item 68c: Canting Terms used by Beggars, Vagabonds, Cheaters, Cripples and Bedlams. [...] Caster, a Cloak.
[UK]B.E. Dict. Canting Crew.
[UK]New Canting Dict.
[UK]Bailey Universal Etym. Eng. Dict.
[UK]B.M. Carew Life and Adventures.
[UK]Grose Classical Dict. of the Vulgar Tongue.
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.
[UK]Egan Bk of Sports 199: Neal [...] gently dropped his caster within the ropes.
[Aus]Bell’s Life in Sydney 6 Sept. 4/3: Bungaree walked quietly to the edge of the ring, and threw in his caster, immediately after introducing his own person between the ropes.
[UK]Duncombe New and Improved Flash Dict.
[US]Matsell Vocabulum.