Virginia Creeper is self clinging and is attractive.

Have not found Honeysuckle to be a good clinging plant at all - it seems to sprout more like a Bramble. Clematis (I like Montana Elizabeth) does self cling after initial pegging to a structure to get it started.

It does depend on your walls - they seem to cling better to harled and stone walls rather than brick. I know Ivy can self cling to brick and harling and stone. When Clematis gets larger, thicker stems, it can come away from a wall after windy days, so will need to be attached again.

Wisteria and Jasmine are also good climbing plants. You also need to make sure that the wall you plan to grow any plant over is right for them - Clematis likes sun, Wisteria and Jasmine will tolerate some shade. Have seen Honeysuckle in deep shade.

Hydrangea petiolaris is a self clinger, with white flowers and glossy green leaves.

non of the mentioned ones are evergreen though. cant think of any evergreen ones. but hydrangea petiolaris is a good plant with lovley butter yellow autumn colours.

Thanks everyone - i'll look into the things you have suggested.

And no clematis self clings... they twine their vine like tendrils around things so if there is nothing for them to cling to they don't - not even the montanas, which can be thugs.

Evergreen self-clinging = euonymus especially 'Silver Queen' and 'Emerald Gaiety'