Green’s Dictionary of Slang

dipsy adj.2

also dipsy-do
[dippy adj. (1) / dipsy n.2 ]

(US) eccentric.

[UK]D. Jarman diary 20 June Smiling in Slow Motion (2000) 151: Vivienne Westwood accepts an OBE, dipsy bitch.
[US]T. Swerdlow Straight Dope [ebook] [T]he Big Boy statue and its crazy dipsy-do cowlick.