1. Not give a fig

• Meaning: Not to feel interested in something
• E.g. You can do what you want. I don’t give a fig.

2. Be not worth a fig

• Meaning: To be unimportant or insignificant.
• E.g. I know you're upset that the decor wasn't exactly as you designed it, but that's not worth a fig when you consider how spectacular the gala was overall.

3. fig leaf

• Meaning: Something used to hide an embarrassing or shameful problem. In the Bible, Adam and Eve used fig leaves to conceal their genitals after they became ashamed of their nakedness.
• E.g. Gary used humor as a fig leaf to conceal the fact that he was struggling with depression.