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.

[TahlilGaran] English Idioms Dictionary ▲