Think of it like this: their words are as smooth and valuable as silver.
Here are some examples:
* "The politician was a silver-tongued orator, captivating the crowd with his promises."
* "The salesperson was so silver-tongued that I couldn't resist buying the product."
* "She has a silver tongue, able to talk her way out of any situation."
The idiom often has a slightly negative connotation, implying that the person might not be entirely genuine in their words, using their eloquence to achieve their own goals.