Here is another picture of same vine: http://www.hcnews.com/donnell/vine1.png i am not very savvy at gardenweb.... maybe there is a way to upload two pictures but I did not see a way to do that... Here is a link that might be useful:

Celastrus. The vines produce spurs .

Hardenbergia?

Thank you to Carol23-gw for your response. I checked kiwi photos and they matched! Now to figure out if it is male or female and try to get its mate!