Yes you can get some amazing clean guitar tones with Axiom! In the video below Tanguy Kerleroux aka TEKA is playing an instrumental version of Wicked Game from Chris Isaak.
Adding some long delays with Late Replies, stereo reverb and a bit of chorus will help you create the perfect ambient tone to play this kind of music.
Wicked Game With Axiom
On the Late Replies screenshot below, you can see how the the effect is obtained by adding stereo Chorus on the repeated signal (in the feedback loop), but not on the direct sound of the guitar:
