Definition of not care (or give) a hang in English:

not care (or give) a hang

phrase

informal
  • Not care at all.

    ‘people just don't give a hang about plants’
    • ‘As an atheist I don't give a hang if the Catholic church destroys itself tomorrow.’
    • ‘She didn't give a hang if I was clean or dirty.’
    • ‘I don't care a hang for reputation.’
    • ‘Believe me, you have no cause to be jealous; she does not care a hang about me.’
    • ‘When a man is dying, he doesn't give a hang about social betterment.’