not care/give tuppence for/about somebody/something
not care (a) tuppence
To not care in the slightest (about something or someone). Primarily heard in UK, Australia. I don't care a tuppence how you get it done, just make sure the deed to that estate is in my possession within a fortnight! I know that Jeremy Lawson has a crush on me, but to be honest I couldn't care tuppence for him.
not care/give ˈtuppence for/about somebody/something(old-fashioned, British English, informal) think somebody/something is not important; not care about somebody/something: She loves him, but he doesn’t care tuppence for her. ♢ The police don’t give tuppence for our rights.
Tuppence is an old word meaning ‘two pence’.