Every plant needs roots to grow - the likelihood is there are still roots in there, even though you think you've got them out. Follow the "tendrils" back to the ground - that's where the roots will be.

I suppose it depends if you removed All of the root? did you remove all of the top growth

Thanks for you replies. The roots have been removed and these are just the 'tendrils' left on the upper part of the house. The question seemed silly to me but my husband assures me that these are the things that have started to 'root' Maybe the real answer would be to get him some new specs :-)
Not being much of a gardener it seemed an idea to get the opinion of someone who knew.

Again, thanks for taking the time to reply

if the roots are severed they are probably just using the energy stored in the topgrowth and when that has gone should die off

Thanks Pamg - they do appear to be very dry but such determined 'suckers' to cling to the wall that's it's very difficult to prise them off.

I'd add that this plant doesn't self cling at first, but when it gets large, the growth at the top does cling to brickwork, etc, so will be more difficult to remove. Not as bad as ivy, though, lol

Sadly it had been left on our Grade II listed house and has given us big gaps in the stonework. Shame no-one looked past the pretty coloured leaves :-)

This plant is certainly a good disguise of damaged brickwork and dodgy pointing... buyer beware, I'm afraid.