I've been battling bindweed for four years now, I dug out what I could, and now I remove any regrowth as soon as I see it - and after a while you can see the first tiny shoot from miles away, you just need to get your eye in. I'm winning - sort of, but I know that it wouldn't take long for it to re-colonise the plot if I ever abandoned it. Unfortunately if - like me - you refuse to use herbicides then there's no other way, I tried covering the land, but it quickly regrows when the covers come off.