It's winter creeper and it gives me the willies to even think about it. I thought I had written a treatise on it but I don't see it in the comments. This is one nasty vine. If you clip it or pull it to rid yourself of it, be sure to get every single root. I didn't know that and ended up with giant shrubs taking over. Took me forever to get rid of the shrubs. And then it took me forever to get rid of all of the roots. I'm still a little paranoid that I might see it return.
Found my pictures. They're in the Plants Database listed as:
Purple Wintercreeper Euonymus (Euonymus fortunei 'Coloratus')
The pictures show how it grew into shrubs and also the nasty roots.