In my case, I want the name of the renamed file to be unique, so I add a date-time stamp to the name. This way, the filename of the 'old' log is always unique:
if (File.Exists(clogfile))
{
Int64 fileSizeInBytes = new FileInfo(clogfile).Length;
if (fileSizeInBytes > 5000000)
{
string path = Path.GetFullPath(clogfile);
string filename = Path.GetFileNameWithoutExtension(clogfile);
System.IO.File.Move(clogfile, Path.Combine(path, string.Format("{0}{1}.log", filename, DateTime.Now.ToString("yyyyMMdd_HHmmss"))));
}
}