I have used low fees without many problems, sometimes to my surprise the transaction gets confirmed within a short period, some others I've had to wait days for them to confirm. On a couple of occasions after waiting forever, the tx were discarded by the network and the bitcoin returned to my wallet.
If you use an online wallet like blockchain. I'm sure if you use a low fee (like 10k satoshi) you'll get your first confirmation the next day lol. Because I tried it some time ago and then cured, and I moved out of blockchain