Formal structure of  "While My Guitar Gently Weeps":
Intro (v) 0:00-0:14 A minor
Verse 1 0:17-0:50 A minor
Middle 8 0:50-1:24 A major
Verse 2 1:24-1:58 A minor
Solo (v) 1:58-2:30 A minor
Middle 8 2:30-3:04 A major
Verse 3 3:04-3:37 A minor
Coda (v) 3:37-4:44 A minor
Comments: The structure of "While My Guitar Gently Weeps" is very clear, helped in part by the dialogue between the parallel major and minor, which recalls the band's use of the same modal juxtapositions in  "Things We Said Today",  "Norwegian Wood (This Bird Has Flown)", and  "Michelle".
The solo replaces a verse (everything is the same except that the solo guitar is heard in place of the lead vocals), however I cannot consider it contiguous verses. That being said, however, counting the solo as verse, the structure of the song is palindromic.
This blog is a workshop for developing my analyses of The Beatles' music.