One Sunday afternoon in the middle of winter my father was digging some Privet out of his front garden and this was one of the pieces that had been pulled out:
At the time it had absolutely no roots on it but hey it was free... So I grabbed an old ice cream container put some holes in the bottom of it and potted it up. I'm not sure what the soil mix is, just whatever my father had at the time, it is very sandy though.
I don't know what its survival chances are but I hear Privets are pretty hardy so we will see come warmer weather.