Green’s Dictionary of Slang

an excl. of disdain, annoyed surprise, infuriation.

1843		W.T. Thompson Major Jones’s Courtship (1872) 89: ‘Highty-tighty!’ ses the old lady – ‘what monstrous ’finement to be shore!’.
1862		H. Kingsley Ravenshoe (1940) 290: ‘Highty-tighty!’ said cook. ‘That does not happen to mean anything [...] Highty-tighty! is no answer to us,’ said Dora.
1865		A. Thomas Theo Leigh 207: Highty tighty! how virtuous we’re become.
1868		L.M. Alcott Little Women I 333: Highty tighty! Is that the way you take my advice, miss?
1873		Trollope Eustace Diamonds (1969) 351: ‘Highty, tighty!’ ‘I told you my own part of the affair, because I thought you ought to know it.’.
1908		Bulletin (Sydney) 24 Sept. 3/2: ’Ighty-tighty, she turns that red, / She frowns that ’aughty, an’ jerks ’er ’ed, / An’ stands a minute as if debatin’, / An’ there stands I, with my ’and out, waitin’.