My enighbours have a tennis court on the border of our properties, and someone along the line has figured it's a bright idea to plant creeping fig on it. It's going crazy, and the regular butchering isn't working.
So my question is, what's the best way to effectively kill creeping fig?
If you want to see what I mean, here it is a link to picture. Look at the top tier. It's driving me nuts.
I'm not quite sure where the creeper is from your photo? And as @Isobel said, do you have your neighbour's permission to kill it entirely?
I can sympathise if they want to keep it - if that's the case then I imagine it's going to be an ongoing problem for you. We have a similar issue with neighbours trees dropping a lot of leaves and berries that stain our concrete, and the trees have now got too high for me to attack.