I am regularly 3.7, and sometimes a little lower, with absolutely no problems whatsoever. My liver comes into play at 3.4, by my reckoning, and I have never taken steps to raise the reading. The only exception would be if I am extremely hungry with that sort of number I might have a cup of tea to feel more comfortable, but I prefer to exercise my liver, and encourage it to work as a non- diabetic persons would.
Clearly, this would be potentially irresponsible in a T1, or anyone taking certain meds, but for me, I believe it to be the correct approach.