'Watchtowering' or 'to watchtower'.
Verb.
To have a habit of sitting in deep thought, or perhaps in between conversation topics, and starting to hum and/or tap the very memorable and recognisable introduction to Jimi Hendrix's version of All Along The Watchtower (originally written and performed by Bob Dylan)

When you eat dirt for the first time and leave your family to build a shack in the woods