It is possible that this episode was inspired from the TV show Get Smart in the episode The Day When Smart Turned Chicken, in which the main protagonist, Maxwell Smart, known as Agent 86, is fooled by the antagonists, KAOS, to look insane in front of everyone.
Keswick's stutter was used as a method to convey a double entendre (a joke with double meanings both for adults and children): Keswick says the pies The Chief makes taste like "sh-sh-shoes", which could easily be interpreted as "sh-sh-sh**".
At the beginning of the episode, when the Snapbot was destroying Petropolis, there was a fishbowl on top of a building that looks like Cosmo and Wanda's fishbowl house from another Butch Hartman series, The Fairly OddParents.
When Keswick gets hypnotized into a pirate princess, he yells "Hi-Gee-Gee!". This is really Dudley's favorite catchphrase.
Look closely: When The Chief calls a meeting in his office, Agent Jumbo can be seen in the bottom right corner of the screen.