Resizable columns seem to be able to go below the set minWidth.
https://codesandbox.io/s/2wqm2wm89y
First Name column has minWidth set to 150, but the column width can go well below that when resizing.
I can confirm that the resizing of a column does not respect minWidth (there is no checking in the code so the assumption is that no restriction was ever intended). However, the documentation refers to minWidth as relating to the setting of flex (i.e. controlling how small the flexbox can be) rather than controlling what a user can size the column to.
I think both functions have validity. Firstly, ensuring that automatic sizing can't exceed constraints and secondly, allowing a user to override any "restricted" nature of columns (as you can never be certain what the usage of the page looks like and what other parts of the table they are trying to see).
So, at this point, I'd say it is behaving as designed and to be able to restrict the resizer would be a Feature Request. Something like a minResizerWidth prop on the column.
Closing as the behaviour of #react-table is considered to be as expected and documented.