It should run without much trouble. Its been able to run on my piece of crap netbook for years (through many versions of wine). You just have to edit the client INI file and turn off a bunch of fancier stuff like pixel shaders.
Code:
VertexShaders=0
20PixelShaders=0
14PixelShaders=0
1xPixelShaders=0
MultiPassLighting=FALSE
UseLitBatches=FALSE
WindowedMode=TRUE
TextureCache=FALSE
DoProperTinting=FALSE
Some of these changes might not be necessary, but it runs fine on Wine for me when using those settings. I've been able to get it running in a VirtualBox Ubuntu VM using these settings.