Sorry Blackflat this does look like madeira vine. It is difficult to kill, but I can't see any aerial tubers in your photo so perhaps you have caught it early enough - Will ask Darren Rosso what is best way to kill
Darren said "I pull small plants and stem scrape larger plants. Round up Biactive works really well used as per label. I have found that Application of Grazon to the basal area( say bottom 20cm) of the plant kills it really well and is nicely selective."