When Top Cat signals the gang in one scene, he drops the garbage can lids on the ground. In the next shot, when Benny shows up, the lids are gone.
In the beginning of the apartment scene, the rug is not out in the open, but several shots later, part of the rug is outside for TC to pull Jazz under the door.
When Jazz fools Top Cat into thinking that there really are diamonds in Diambodie, the cord for the radio only appears when it is essential to the plot (Jazz unplugged it so that he could speak).
After Top Cat pulls Jazz under the door and sneaks inside, if you freeze frame (or look closely enough), you can see that Jazz is nowhere to be seen outside.
In one scene, Jazz's nose turns from black to white to black.
When Jazz and Beau are dusting Officer Dibble, they suddenly get their dusters and tissues out of nowhere.