Partial class exists in the .Net framework solely to let Visual Studio designers (e.g. the Asp.Net designer and the Windows Forms designer) to generate code / mess with your classes while keeping that generated code in a separate file.
(See .NET Partial Classes vs. Inheritance)
If you do something similar (generate code that needs to coexist with user-written code) then you might also find partial classes useful, but I don't believe that Microsoft ever intended partial classes as a language concept to be useful to anyone other than the Visual Studio team.
Its not so much that using Partial classes is bad design - its just you probably wont find a use for them.
