A bawdy parody MY GRANDFATHER'S COCK is in the DT.

Henry C. Work wrote a sequel to the song (in the Levy collection).

Title: Sequel to Grand Father's Clock. Song and Chorus.
Composer, Lyricist, Arranger: Words and Music by Henry C. Work.
Publication: New York: Willis Woodward & Co., 817 & 819 B'way, 1878.

SEQUEL TO "GRAND FATHER'S CLOCK"

1.
Once again have I roamed thro' the old-fashioned house,
Where my grandfather spent his ninety years.
There are strangers in charge, and the change they have wrought--
Oh! it saddens me, even to tears.
Dear old clock! when they found you were speechless from grief,
Then they went and swapped you off, case and all.
For that vain, stuck-up thing
(tick, tick, tick, tick, tick, tick, tick, tick),
For that vain, stuck-up thing on the wall.

Chorus:
Grandfather sleeps in his grave;
Strange steps resound in the hall!
And there's that vain, stuck-up thing
(tick, tick, tick, tick, tick, tick, tick, tick),
There's that vain, stuck-up thing on the wall.

2.
While we talked of the old clock they all ran it down.
Tho' they claimed that it couldn't be made to run.
It was useless they said-- it was quite out of style;
Built, no doubt, just about the year One.
And the words echoed round, with a faint, mocking sound,
As if some one gave assent to it all;
'Twas that vain, stuck-up thing
(tick, tick, tick, tick, tick, tick, tick, tick),
'Twas that vain, stuck-up thing on the wall.

Repeat Chorus

3.
From the clock-peddler's cart in the junk-shop it went,
Where its cog-wheels were sundered one be one;
And the brass-founder joked as they writhed in the flames--
"Melt'em up," says he; "then they will run."
There is grief in my heart, there are tears in my eyes.
Yet indignantly the sight I recall
Of that vain, stuck-up thing
(tick, tick, tick, tick, tick, tick, tick, tick),
For that vain, stuck-up thing on the wall.

Repeat Chorus

4.
"An extremely hard case!" said the junk-dealer's wife,
As she carried it for kindling wood and sighed--
That mahogany case, with its quaint, figured face,
Which so long was my grandfather's pride.
"There is hope for the small; there's a change for us all;
For the mighty ones of Time, they must fall!"
Says that vain, stuck-up thing
(tick, tick, tick, tick, tick, tick, tick, tick),
Says that vain, stuck-up thing on the wall.

Repeat Chorus

Another song on the related theme (also in Levy):

Title: Since Grandfather Died.
Composer, Lyricist, Arranger: Words and Music by Charlie Baker.
Publication: Cincinnati: F.W. Helmick, 136 W. 4th St., 1878.
Form of Composition: strophic with chorus
Instrumentation: piano and voice (solo and satb chorus)
First Line: Yes, grandfather's clock, it is still standing there
First Line of Chorus: Many years has it slumbered, no tick, tick, tick

~Masato