Yea.
We had this discussion and tried looking it up. My GF is a gardener and knows the word beddytwine and the weed from her mother. My informant reckons it has white flowers but couldn't define the size of them. There is a climbing weed that grows profusely locally so I intend cutting some down for confirmation, maybe the GF will identify it. It certainly fits the twine description.

bedstraw was considered, but the images were mostly of ground plants some referred to as climbing. the bed bit should be a clue but never assume. And there are a lot of bedstraws to consider!

Galium alba with the white appellation didn't look the part though. Hedge bedstraw galium mullugo appeals, contextually.

This has got me, and I intend to get it!

As an electronic engineer I only know Gallium as a crystaline bulk element for LEDs