I have also installed Wine and it works fine with my Apsire One.
Follow These Steps:
1. Unlock the Advanced Desktop by using this topic:
http://www.aspireoneuser.com/forum/viewtopic.php?f=13&t=28
2. Right mousclick on the desktop > System > Click on 'Add/Remove Software'
3. You must enter the password that you have entered by installing Aspire One
4. Retrieving Software Information...
5. Go in the above tabs to 'Search'
6. Enter in the search line 'Wine' > Click 'Search'
7. Click everthing about wine with version
number 1.0
Like 'Wine-core - 1.0-1.fc8-I386'... And then everything with that version number
8.Click on 'Apply' and he is installing and if you are right you get Successfully installed
9 You can find wine under: Rightclick on desktop > Other > Wine
I am sorry but it doesn't has version 1.1
You can install applications by clicking right on the .exe file > Open with other application... > Custom command... > and open wine from your home folder (I thought it was: Disk:\Home\User\.Wine... But I'm not sure)