"Everybody's Got Something to Hide Except Me and My Monkey"

This morning, I transcribed the lyrics of "Everybody's Got Something to Hide Except Me and My Monkey" from the booklet from The Beatles.  I noticed something that may be obvious, but I'll note it anyway:  the lines "Your inside is out and your outside is in / Your outside is in and your inside is out" have a chiastic structure, and this sort of inversion (within each line and between the two lines) illustrates the reversal that the lyrics seem to mention.  Basically, the structure mirrors the meaning.