not give a fig

(not) give a fig

slang To be concerned about someone or something. Typically used in the negative to convey the opposite. I don't give a fig about making money, I just want to do something with my life that makes life better for others. I haven't given a fig for the show ever since they killed off my favorite character. Do whatever you want, I don't give a fig.
See also: fig, give
Farlex Dictionary of Idioms.

not give (or care) a fig

not have the slightest concern about.
Fig was formerly used in a variety of expressions to signify something regarded as valueless or contemptible.
See also: fig, give, not
Farlex Partner Idioms Dictionary

fig, not care/give/worth a

See not care/give a fig.
See also: care, give, not, worth

not care/give/worth a fig, to

Not care at all, not give a damn. Fig has denoted something worthless since about 1400. Moreover, in Mediterranean countries the sign of the fig is an obscene gesture, made by clenching one’s fist and pushing the thumb between the first and middle fingers. According to John Ciardi, the thumb represents the penis, the fingers the labia, and the gesture means “Fuck you.” Dante so used it in the Inferno section of The Divine Comedy. Centuries later, however, the phrase’s obscene provenance began to be largely ignored, and the cliché survives.
See also: care, give, not, worth
The Dictionary of Clichés by Christine Ammer
See also:
  • (not) give a fig
  • fig
  • (not) care a fig
  • palm off, to
  • keep an eye on, to
  • give (one) the fig
  • catch (someone) with his pants down, to
  • bottom of it, at the/get to the
  • dawn on (someone), to
  • go to one's head, to