It implies that their words are smooth and captivating, like silver, and can easily win over others.
Here are some synonyms for "silver-tongued":
* Eloquent
* Persuasive
* Charming
* Smooth-talking
* Articulate
* Fluent
* Captivating
Examples:
* "The silver-tongued salesman convinced me to buy a car I didn't even need."
* "She was a silver-tongued orator, able to inspire crowds with her passionate speeches."
The term is often used to describe people who are skilled at public speaking, politicians, or salespeople. It can also be used in a more negative sense to describe someone who uses their charm and eloquence to manipulate others.