This climbs and strangles all it touches.
What plant is it and how can I remove it?
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Are you located in Australia or NZ? A strong possibility is that this is rambling dock or potato vine as described in this wikipedia article. The arrow shaped leaves and red stems give it away. If not this one and you are located elsewhere, it would be helpful if you indicate where.
Edit: an alternate suggestion is Polygonum sagittata which fits the description fairly closely; however this species is not mentioned as being found in the UK either.