Part-time work for IT contractors

[MildWest]

Has anyone managed to pick up a part-time contract in IT/Programme Office work? I'm contracting at the moment and have ltd co., so get some SMP. Ideally, would like to go back for 2 or 3 days a week, but can't find anything suitable advertised to do some research. Do these roles exist, or am i being overly optimistic? Am hoping that they do exist, but are filled through word-of-mouth rather than needing to advertise.
Any experiances welcome!

Because IT is such a blokey area, there doesn't seem to be much in the way of part time work around. Granted, my experience is mostly in the City, which is uber-blokey ...

I think you can, the company I work for uses a third party person to sort our IT dilemmas out so we use him ad hoc, I'm sure you could pick up a few contracts like this? :D