Green’s Dictionary of Slang

Brighton pier adj.

also Chelsea pier
[rhy. sl. = queer/queer adj. (5)]

1. peculiar, strange.

[UK]Hotten Dict. of Modern Sl. etc.
[US]Maledicta II:1+2 (Summer/Winter) 118: Elsewhere Aylwin lists a few more ‘Vulgarities’: [...] queer (Brighton Pier, though often in the sense of ‘peculiar’ rather than what Aylwin calls a ‘puff’, collar and cuff).
[UK]B. Dark Dirty Cockney Rhy. Sl. 36: Chelsea pier odd.

2. homosexual; thus Brighton, a homosexual.

[UK]J. Franklyn Dict. of Rhy. Sl.
[UK]S.T. Kendall Up the Frog.
[UK]B. Dark Dirty Cockney Rhy. Sl. 31: I wouldn’t go into that bar if I was you; it’s full of Brightons. [Ibid.] 36: Chelsea pier queer.