There are a variety of issues we should be aware of that can be limitations to utility of significance tests, and all of the following are examples of this EXCEPT:

We cannot draw conclusions from significance tests for a mean if the underlying population distributions are not normal

It is incorrect to interpret the p-value as the probability that the null hypothesis is true

We should be careful not to only report results if they are statistically significant

We should recognize that some tests may be statistically significant just by chance