[tinker's damn] also tinker's dam n [prob. fr. the tinkers' reputation for blasphemy] (1839): a minimum amount or degree (as of care) "didn't give a tinker's damn about poetry --James Blish"
TINKER'S DAMN
Meaning of TINKER'S DAMN in English
Merriam-Webster English vocab. Английский словарь Merriam Webster. 2012