Green’s Dictionary of Slang

conish adj.

[? cony n. (3) on the theory that such a figure may well fall prey to a clever con-man; Partridge suggests perversion of tonish, fashionable]

fashionable, smart, genteel; thus (Scot.) conish cove, a fashionable gentleman.

[Scot]D. Haggart Autobiog. 16: M’Guire came to us and pointed out a conish cove, with a great swell in his suck.
[UK]Lytton Paul Clifford I 79: [V]ot do you say to a drop o’ blue ruin? or, as you likes to be conish (genteel), I doesn’t care if I sports you a glass of port [...]. [Ibid.] 222: ’Mong the pals of the prince I have heard it’s the go, [...] To smarten their punch with the best curaçoa, / More conish to render the stuff.
[US]J. Hawthorne Confessions of Convict 24: The latter was good-natured and ‘con-ish’ to all his fellow inmates.