I fixed mine!
Here's how you do it:
- Take a piece of wide tape, like packing tape.
- Roll it into a narrow, sticky straw shape.
- Stick the straw down to the bottom of the headphone jack and dig/spin a little bit.
- Pull it out, and you'll probably get the lint with it.
I had to do this three or four times before I got all the lint, but it worked and didn't damage anything.