I have this problem on my 1.8T. Its my wifes car and we get this issue maybe once or twice in a week and then nothing for a month or so, sometimes longer.
Until the weekend this had only happened to me once before. On that occasion I tried the ignition a couple of time, removed the key a few times and sure enough the immobiliser light eventually went off and the car started fine. This weekend had the problem again. I was driving and tried turning ignition on and off etc. as before. My wife insisted that if I just rev the car it would be ok. I let her try and sure enough the immobilser light stayed on, the car stuttered a bit but after revving to between 2-3000 rpm for a few secs, the car then run fine. Every time she says this has worked in the past ?
I have a new immobilser cable, just not got around to fitting it yet!