Why should one not derive from c++ std string class?

I wanted to ask about a specific point made in Effective C++.

It says:

A destructor should be made virtual if a class needs to act like a polymorphic class. It further adds that since std::string does not have a virtual destructor, one should never derive from it. Also std::string is not even designed to be a base class, forget polymorphic base class.

I do not understand what specifically is required in a class to be eligible for being a base class (not a polymorphic one)?

Is the only reason that I should not derive from std::string class is it does not have a virtual destructor? For reusability purpose a base class can be defined and multiple derived class can inherit from it. So what makes std::string not even eligible as a base class?

Also, if there is a base class purely defined for reusability purpose and there are many derived types, is there any way to prevent client from doing Base* p = new Derived() because the classes are not meant to be used polymorphically?