Secretive

Of all the characteristics I would use to describe myself, this would not be it.

I just had a one hour phone conversation with Ping in which she said I am so secretive.

Me: What do you mean I am secretive! I am so transparent. I am so open especially with you!
Ping: But sometimes you say somethings and don't say the whole thing and I feel like I don't know what you are thinking! And if I can't get you, how do you expect a man to know what you might feel??

(By now Ping is raising her voice above mine because I protested so vehemently, but we still love each other, of course)

Secretive...never thought so...

I just started work today and I won't tell you how it was because I am secretive.