It was just over two weeks from the point at which I was taught the sign in April (and started using it sporadically) to the point at which she demonstrated conclusively that she understood the sign without a spoken word.
After that, I started doing hand-over-hand to have her make the sign as well.
This past weekend, she grabbed JoyDad's hands to have him make the sign.
Then later she made the sign all on her own.
Here's a web site where you can see a demonstration of the sign.
Here's what she's asking for.

Video. Baby Einstein video, to be precise. She's also vocalizing, a little sound halfway between "vuh-voh" and "fuh-foh".
It's all about the motivation, baby!