[Hahahaha, Ami, you should get used to the fact that Leia is extremely inquisitive and will ask a lot of questions until she's more sure of herself.]

Swimming is an admirable hobby. Do you get to do that a lot? And I've played holochess, but I guess there isn't a board for that here, is there?

[Nope. Leia doesn't know anything at all about Ami besides what Luke's told her, so you're in the clear. Besides, Leia would admire your studying habit. Intelligent conversation is sometimes really hard to come by for a highly educated person such as herself.]