help me understand this Sluggy Freelance strip

It’s supposed to be pun related and I just don’t get it.

Is it the punch line of a joke I haven’t heard?

The pun is on “line”; the transmission given in the last panel is a “line” as in “pick-up line.”

The arm snapping off is You’re breaking up".

More: “We can’t understand you” refers to the line in French. (“Do I need help? What do you think?”) And the communications officer herself points out the gag on “vague.”

Thanks, all. It was the pickup line that I really wasn’t getting.
(Although I did catch the Ihearu.)