Does the word "Tan" in ancient Chinese mean "Tan"?

Yes!

Tan Tan \u move \u move.

(1) (pictophonetic characters. In words, Qin Sheng. Original meaning: with "talk", say)

Talk to ... Opinions on public affairs

Such as: Tan Xiao (laughs); Tan Yi (on literature and art); Tan said (discussion; Talk about it); Tantu (speech and attitude); Tan Zhu (talking about capital); Tan Yan's words are slightly to the point (his words are slightly tortuous and to the point)

This is a cliche. -Chen Shou's "The History of the Three Kingdoms"