it should work, should you be worried? definatly, its going below spec, and there is a reason for spec.
it might work, it might start heating up more on the charger, and IMO that is going to be the most dangerous aspect of it.
your nano thing cant go to hard on the cells, because its rather slow.
but if the cells are starting to self discharge faster, or get warmer on the charger, then its a dead, dangerous battery.
a li-ion shouldnt get warm at all, on a slow to medium charger, because the cell accepts the charge, as opposed to wasting it out as heat.
a BAd cell not only gets warm, but with a med to fast charge it can start a fire in ya house :-(
so its probably good today, but one should avoid doing that , not because the cell becomes trash, but because if you DONT do that, then the cells are reasonably safe, when you do that, the cells become less safe.
being an advocate of li-ion, i wish they would be used safely all the time, so we get to use them and the technology gets better and all.
if your going to be making it unsafe(r) , and your completly aware of the dangers, and the risks, then mabey you can avoid the ramifications, by your alertness, in the situation. but it would be better for the whole battery community in general if people wouldnt do this.