Keith, I haven't found the video, but Rice in her capacity as the US ambassador to the UN made her statement 'threatening' the withdrawal of aid to the UN back in June - later her comments were 'clarified' as informal chit chat - but here's an article from The Telegraph:

http://www.telegraph.co.uk/news/worldnews/middleeast/palestinianauthority/8597559/US-could-withdraw-funding-from-UN-if-Palestine-state-is-recognised.html

I'm unsure if she's repeated the threats about UN aid, but I believe Rice has made similar threats regards aid to the Palestinians much more recently in a continuing bid to pressure the PA and Arab League to withdraw the bid.

Of course such measures would only be realised if Palestinians and the UN do not accord with the US's wishes and drop the matter of Palestinian statehood, so it would be rather premature I suppose to expect to see any moves severancing the aid, being taken by the US as yet.