Lab values being "normal" are based on population studies. As we should know from statistics, there will always be outliers that may be within normal limits, but don't get normal results.
Some people could fall within a normal range for lithium and still get toxicity. It will be rare, but it could happen, especially if the lithium is on the higher side of the therapeutic range.
Now why that happens, on a level better explanable by the statistical explanation-that would be the more interesting answer.