Consider the following code:
if (IsDebuggingEnabled) { 
   instance.Log(GetDetailedDebugInfo()); 
}
GetDetailedDebugInfo() may be an expensive method, so we only want to call it if we're running in debug mode.
Now, the cleaner alternative is to code something like this:
instance.Log(() => GetDetailedDebugInfo());
Where .Log() is defined such as:
public void Log(Func<string> getMessage)
{
    if (IsDebuggingEnabled) 
    {
        LogInternal(getMessage.Invoke());
    }
}
My concern is with performance, preliminary testing doesn't show the second case to be particularly more expensive, but I don't want to run into any surprises if load increases.
Oh, and please don't suggest conditional compilation because it doesn't apply to this case.
(P.S.: I wrote the code directly in the StackOverflow Ask a Question textarea so don't blame me if there are subtle bugs and it doesn't compile, you get the point :)