Chords by Kenny Perry, Probably a better version that the Stones themselves.

Verse 1
              F#5     E5        D5
     Under my thumb a girl who once had me down
              F#5               E5        D5
     Under my thumb (oh yeah) a girl who pushed me around
    
           
Biss:           A5
     It's down to me (oh what I say)
         D5                 B5                    F#5
     The difference in the clothes she wears to me
              E5     D5        A5
     Here She Come, under My Thumb

Verse 2
            F#5         E5                 D5
     under My Thumb the Squirmin' Dog Who's Just Had Her Day
              F#5         E5                    D5
     under My Thumb, Oh a Poor Dog, Yeah Yeah, She Just Changed Her Ways

Biss:                A5
        it's Down To Me, Oh, What I Say
              D5                 B5
        the Difference In The Clothes She Wears
             F#5          E5     D5        A5
        to Me, Here She Come, under My Thumb
     
Verse 3
                   F#5         E5        D5
        Under my thumb' a Siamese cat of a girl
              F#5             E5                  D5
     under My Thumb she's The Sweetest, Oh Yeah, Pet In The World

Biss            A5
     It?s Down To Me, Oh what I say
         D5                     B5
     the Difference When She's Spoken To
        F#5          E5     D5         A5
     to Me, Here She Come, under My Thumb

Verse 3   
              F#5         E5           D5
     Under my thumb her eyes are just kept to herself
              F#5         E5         D5
     Under my thumb well I, I Still Fool Around With Somebody Else

Biss:           A5
     It's down to me Oh that?s What I Say
         D5                     B5
     The Difference when she's spoken to
        F#5         E5           D5
     to me Here She Come, She Come
              A5
     under my thumb.

A5
Take It Easy Baby and Do You Go
A5
Take It Easy Baby and Do You Go

    Solo: over F#5 E5 D5
     
    (SLOWLY)  F#5  E5   D5
under My Thumb 
              F#5  E5   D5
under My Thumb
              F#5  E5   D5
under My Thumb,

(I Think I Love Ya, I Think I Love Ya)
              F#5  E5   D5
under My Thumb,

(I Think I Love Ya, I Think I Love Ya)
              F#5  E5   D5
under My Thumb,

(I Think I Love Ya, I Think I Love Ya)
              F#5  E5   D5
under My Thumb,

(I Think I Love Ya, I Think I Love Ya)
              F#5  E5   D5
under My Thumb,

(I Think I Love Ya, I Think I Love Ya)
              F#5  E5   D5
under My Thumb,

(I Think I Love Ya, I Think I Love Ya)