Lingering Still Chords

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Please comment if you have any suggestions, Im still not sure about the C7 chord 
and whether or not it should be replaced, and if I should add a chord between the 
F and the second C on the verses. This is my first tab, sorry if it's not too great! Thanks :)

CAPO 5

Intro: C C7 F D7 Dm G C

Verse 1

N.C.                       C
I like to learn things slow
                      F
I like learning a lot
                                                                     C
I like to get it all again and in the end you know you get what you got

N.C.                     C
I like to mean what I say
                                F
But it dont always come through
                                                                  C
Cause if I say it all again again again it doesnt make it more true


Chorus

           C                        C7 
And the worlds like a science and Im like a secret
    F                     D7
And I saw you lingering still (still)
Dm                    G    C
I saw you lingering still


Verse 2

N.C.                   C
Its all just news to me
                            F
Dont really care if it hurts
                                                                          C
Cause if I knock it I wont know it, then I know that it will only get worse

N.C.                    C
He was different at first
                           F
But then he wont understand
                                                                     C
Because hes never gonna know me if he doesnt want to just shake my hand


Chorus
           C                         C7
And the worlds like a science and Im like a secret
    F                     D7
And I saw you lingering still (still)
Dm                     G    C
I saw you lingering still


(Piano Solo) Play verse chords

(Guitar Solo) Play chorus chords

           C                        C7
And the worlds like a science and Im like a secret
    F                      D7 
And I saw you lingering still (still)
Dm                         G
And I saw you lingering still
          C                         C7
And the worlds like a science and Im like a secret
    F                     D7
And I saw you lingering still...
Dm                      G        (C)
I saw you lingering still.


(Lyrics from She&Him Vol. 2 Digital Booklet)