give a hang

give a hang or care a hang  {v. phr.},  {informal}
To have any interest or liking; care. — Used also with other words in the place of "hang", such as "damn", "rap", "straw"; usually used in the negative.
You can quit helping me if you want to. I don't give a hang.
Some people don't care a rap about sports.
Bruce never goes to the dances; he does not care a straw about dancing.
Categories: informal verb
Source: A Dictionary of American Idioms

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