Ok I seem to have developed a method which although hard work is quite quick.
I've got hold of a small folding garden hand saw, very sharp and very portable. I've been using this instead of a chainsaw for cutting through the stems of the rhododendron. I find that if the stem is thick and the plant is leaning, I only have to saw part way through the stem before the weight of the plant does the rest and fractures the stem with a satisfying crack/crunch. I can then drag the whole plant to where I want to leave it.
There's a huge amount of rhododendron in my wood, so to make the process of removal more interesting and enjoyable, I've started to make 'paths' through the woodland by removing only rhododendron. This means that the woodland is more easily explorable (especially for children) and I can slowly remove the rhododendron whilst making the wood more interesting to explore simultaneously.
I am aching though!!