Yeah, I think I can see the chorus you're talking about. I'm about 90% sure the fuzz is an EHX Big Muff with the tone rolled down a good bit. Whether in front of or behind the chorus, not sure.
The Russian Big Muff is THE classic bass fuzz sound, which is probably why you recognise it. As far as fuzz goes, bassists didn't have that many viable options for a long time- but the Big Muff was always there for us, calling sweetly, telling us to come in from the cold.
Here's Grygrx's video, good demo, she plays a good bit softer than him though so it's a bit less snappy. 2:58 gets very, very close to her tone, minus the chorus. http://www.youtube.com/watch?v=E3BrdHF0uio&t=2m33s
Full SVT and a Rick. Dammit Jenny... that girl has singlehandedly convinced me to invest in a chorus and trem pedal...
Cool to see another Warpaint fan on TalkBass!