I would recommend immediately updating to 1.7.0. New caching features enabled by default with Java 7 are making it very difficult to update the applet, so changes were made in 1.7.0 to mitigate the pain in updating.
Also please note that the JNLP file getting cached by the web browser has been causing grief among web developers.
A quick fix to re-download the JNLP is to change the URL. i.e
"qz-print_jnlp.jnlp"
change to
"qz-print_jnlp.jnlp?dummy"
You could do this each time by using JavaScript to write a timestamp after the question mark.
For clients that are stuck "inbetween", I would recommend you have them flush QZ Print Applet from the new cache area in Java 7.
--> Java Control Panel, General, View Button, Click "QZ Print Plugin" Delete.
I hope this helps.
-Tres