Finding a piece of music from 'Fight Club'

It’s about the music you can hear in this youtube video:

Bought the soundtrack. The song isn’t on there. There’s a tiny snippet of it in another song, but it cuts short a few seconds in.

Does anyone here have an idea if there are other options to get it?

Don’t know if it’s available but if it helps your search any there is a discussion of it here:

It is apparently a “cover” of sorts of this song:

Yes, it’s a Yiddish song, Chiribim Chiribom.

That’s actually pretty cool! Thanks!

I wonder if one of those song ID apps (Shazam, SoundHound) would work for something like that?