Hi :
Maybe you choose the option 'Create New DataBase' while installation.
please check your web.config , and change
<add key="CuteChatDotNetNukeOwnerPrefix" value="dbo." />
to
<add key="CuteChatDotNetNukeOwnerPrefix" value="DotNetNuke.dbo." /> (if your DotNetNuke's database name is 'DotNetNuke')
That's OK if your DotNetNuke application use the <data defaultProvider="SqlDataProvider">
---
If your DotNetNuke application use AccessDataProvider, the cutechat current not support 'directly' now!
But if your are insteresting in the CuteChat.DotNetNukeLib.dll
You could found the source in the folder :
C:\Program Files\CuteSoft\CuteChat\Toolkit\Solution\CuteChat.DotNetNukeLib\
You could modify the code to connect the acess database as you want.
Hope that helps.