A cat and a dog are chained together in the paddy wagon on the way to the city pound. When the door flies open, they put aside their dislike for one another and make a break for it across country. The chain joining them at the arm creating an obvious barrier to a fast getaway.
Nowadays, film titles are spoofed by porno movies twisting the words to make suggestive titles; back in the day this practice was more innocently done for the more family friendly products of cartoons! This is a spoof in name and nature of the Tony Curtis & Sidney Poitier film The Defiant Ones. The plot takes the idea of enemies bound together by chains escaping the law and adds gags to it. It is pretty funny and it doesn't matter if you haven't seen the film that it spoofs, the gags don't require it.
Sylvester and the bulldog are pretty funny together and it is amusing just to see them having to work together as opposed to just chasing one another. If you're looking to nitpick then you could complain about the chain, which seems to change length on the requirements of the jokes, but this isn't a major issue.
Overall this is a funny spoof of a famous film that takes the essence of the plot and makes good jokes out of it. Nice to see a cartoon that is different from the usual Sylvester/Bulldog stuff!