Well, while using RealVNC server, I can go into the server options, choose the inputs tab, and uncheck the "send clipboard updates to clients" option. After that, whatever I attempt to copy from the server won't paste over to the client. However, I can turn that feature back on while connected with the client... so it only keeps people from copying if they don't turn the option back on themselves. I suppose you could hide the tray icon
To disable the tray icon, you should start the "regedit" utility from the command line, go to the HKEY_LOCAL_MACHINE\Software\ORL\WinVNC3\ folder, and create a DWORD parameter with the name "DisableTrayIcon" and the value "1". Then, after restarting (the)VNC Server, the icon will not be shown anymore.
...or just use AllowProperties to disable access to changing the settings.
TightVNC... no mention there of controlling access to the clipboard.
I notice this setting is conspicuously absent in UltraVNC as well.
Don't know about LogMeIn... so I'll set up an account and see... and done. File sharing is easy... and not something you appear to be able to disable. No mention in the settings at all about the clipboard.... But... whatever you copy in the remote session can be pasted into the local session. And oddly enough, following their instructions to share a file ( a text file called new.txt sitting on the desktop of the remote computer) fails. I am given the error that I cannot share that file and if it is on a network resource I need to copy it to the actual machine. I'll have to investigate that.
Mikogo isn't remote desktop sharing. It's presentation. The person who connects (and is not the presenter) can view whatever is opened on the desktop. They can't open new files, etc. They can't select what is shown. When they are changed to being the presenter, the desktop view is switched to see THEIR desktop. So... when using Mikogo, you are either viewing what someone wants to show you on their computer, or you are showing yours.
So... it looks like using the advanced settings in VNC to alter what parameters can be changed/turned on and possibly even hiding the VNC icon is the way to go.