The only thing I can think of that would set off bells and whistles would be if you remove or replace a known machine on the network that some service is looking for. If you replace a WinNT box named "BOX" with a Linux box named "BOX", and there is some SMS program or something out there looking for "BOX", you might get detected.
The other BIG thing that could get you busted is if you were to setup a DHCP server on your Linux box. That would cause some serious network problems that would get noticed quick.
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