The most valuable part of TAOCP, for me, is its writing.
I've never read anything that is more precise or intuitive. TAOCP is also pleasant to read.
It's the book that I go back to once a while after being bothered by the sloppiness in the documents and papers and many other written materials consumed everyday. Reading it gives a sense of enlightenment that regardless of all those poor writing, there is hope to reach the clarity that I have the deepest desire for.