*tte* unfortunately has many uses, so it*s impossible to tell you without more context. One way it could arise as *[name] tte* would be in response to someone addressing the speaker with his or her given name when a more formal form of address (e.g. [family name]-san) was expected. In this case it means *oh, you*re using my given name, are you?*.
tte is also used as an informal equivalent of the phrase *to iu*. For example, *X tte nani?* is a quick casual way of asking what a word X means.
Hope this helps a bit, although I doubt that I*ve pinned down the usage you heard. (Sorry about the asterisks instead of quote marks-- the quote marks were confusing the posting mechanism.