Yes, this happened to me!

My waters broke on the Tuesday night while I was watching tv. But no contractions at all. I called the midwife and she advised me to wait for contractions and call again if any happened. Wednesday morning, none had come, so I called again. Midwife said to come into hospital to make sure it was the waters that had broken. She told me then that if there were no contractions by Friday morning I was to be induced then and sent me home. This was with the midwifery group practice, whose aim is for as natural a birth as possible, so I'm guessing that they would have the longer timeframe for allowing natural labour to kick in. This would have been roughly 60 hours from when the waters broke before they would induce. It turned out that my contractions started early on Thursday morning - about 32 hours after my waters broke. I still didn't give birth until Friday morning, but that's another story! My advice if your waters break early is to not be on edge waiting for it all to happen, as it could be ages before your baby is born and you need lots of rest in between!