I found that there are quite few people that are having the same problem on getsatisfaction.com on this thread.

The problem I was experiencing was that every now and then play back would just stop and then if I tried to play another song it would be really poor quality and it would eventually just stop completely.

To fix this I did the following:

1. Uninstalled wine

sudo aptitude remove wine

2. Added the latest WineHQ APT Repository to software sources, by following this tutorial
3. Re-installed wine v1.2

sudo apt-get install wine1.2

4. Re-installed spotify by running the command

sudo wine "Spotify Installer.exe"

Hope that helps, if not then please let me know

Spotify, is a new digital music application which connects to the internet and provides the users with an absolutely massive music library. It is still in beta, but I have been fortunate enough to have been given a sneak preview into the capabilities of the application.

What does “Spotify” mean?
The name Spotify is a combination the words SPOT and IDENTIFY. Spotify helps you spot and identify the favorites you forgot about, or maybe didn’t even know you had.

The search feature is lightning quick and the range of music which is available is mind blowing. My only concern at the moment is regarding rights issues of the music which is available. I mean they have millions of songs available to stream free of charge, so is it legal? I suppose time will tell…

I just hope that the company releases Spotify soon, because I bet there are loads of music fans out there dying to get a copy of the software.