Denver Dooley uses the term punk here, which would famously become Clint Eastwood's tagline 15 years later in Dirty Harry (1971).
The term panhandle, in Western jargon, refers to the Oklahoma/Texas border lands that are long and narrow, like an actual pan handle. It's applied to any such area nowadays. The animators used this analogy cleverly at the end of the short, by illustrating an actual cast iron frying pan with the credits.