tink·er's damn also tink·er's dam 
/ˈtɪŋkɚzˈdæm/ noun
/ˈtɪŋkɚzˈdæm/ noun [singular] US, informal : the smallest possible amount — used like damn in negative statements ▪ He obviously doesn't give a tinker's damn [=doesn't care at all] about what happens. ▪ If you ask me, his opinions aren't worth a tinker's damn. [=aren't worth anything]
