Side-to-side play in throttle grip

[calamarichris_imp]

Every setup is a little different, but if the bar-end bolts have not been tightened to the hilt, that could result in the unwanted play in the plastic throttle tube.

.....and that would happen because?

...?
Because the outside of the plastic throttle tube often rests against the bar-end itself or a flange. Loosen your bar end bolt, and you will almost certainly have play in the throttle grip.
The CB11's part diagrams appear to be the same setup on my Kawasakis and Superhawk.