Community journalism is a relatively new and rapidly changing area, so I don't feel confident in coming up with a catch-all definition of what makes a community newspaper. On the other hand, I do want readers of this blog to know what I'm talking about, so it might be helpful if I list some of the characteristics that most community newspapers have in common.
A community newspaper...?
is usually run on a shoestring with a small number of paid staff (Leys News has three part-time paid staff at the moment, but it's more common in my experience for a community paper to have just one or two paid part-timers.)
usually owes a lot to the work of volunteers, most of whom live locally
numbers its readers in hundreds or thousands
usually comes out bi-monthly or quarterly
actively encourages residents to get involved with the paper
is usually offered free at the point of use
often operates in an area which is defined by Government statistics as deprived
often does things which go beyond a newspaper's core activities: running training courses, organising community fun days, holding drop-in sessions
is often dependent on grant funding to stay afloat financially
This isn't an exhaustive list of characteristics, but it should give a general idea of what community newspapers are like.