Tom Waits and theremin?

Did Tom Waits use a theremin in his song "A Little Drop of Poison?"

YouTube Link (http://www.youtube.com/watch?v=8aTvELXNXNU)

If so, who was the performer?

I think that may be a musical saw, not a theremin. I'm not absolutely certain about that but it seems to me we have discussed this song before either here in the TW forum or on the Levnet.

I think that's a saw as well.
Weird thing is that on the album, the musicians are listed, but there is no mentions of a saw or theremin player.