The level of complexity and allusion in some cartoons is stunning. Take the following Dilbert cartoon:
It involves two people, Alice and Walter. Alice's statement "I hate Mondays more than Garfield" is intended to mean "I hate Mondays even more than Garfield hates Mondays", but Walter understands it by its alternative meaning "I hate Mondays even more than I hate Garfield".
However, in the next pane, by making an allusion to Garfield and lasagna ownership, Walter is showing that he knows all about Garfield, so he is basically saying that he is perfectly aware of Garfield's dislike of Mondays. In other words, he is saying that his misunderstanding of Alice was quite deliberate.
Alice understands this, which is why she gets angry. But in the final pane, her threat not to talk to him is taken by Walter as a promise; it is what he was hoping for.
On first reading this cartoon, I failed to grasp much of that; and it was only on reading the explanation on Language Log (here) that I understood it. Partly, that is because I am not very familiar with Garfield and his dislike of Mondays and disregard for ownership of lasagna. But I'm not sure I would have got it even if I had known about these things. I suspect most of us miss the subtle meanings of lots and lots of cartoons.