Does "get a little carried away" mean "become a little negligent of their duty"?

It is highly improbably that the Obama girls would commandeer Air Force One. If they did, it would be way beyond getting a little carried away, but would not be negligent of their duty. Daughters of presidents do not have duties. We may have expectations, but they have no duties.

This is humor by understatement.

Thank you.
I think I was a little carried away by the translation (book) in my hand.
But I still don't understand the meaning of "They're starting to get a little carried away."

"Carried away" usually refers to an excess of enthusiasm overcoming good judgement. Their good judgement would tell them not to do this, but they got carried away.

Hope that helps.

Yes.
Thank you.