From the sheet music at The Lester S. Levy Collection of Sheet Music:

"SKIDDY-MER-RINK-A-DOO" MEANS "I LOVE YOU."*
"SKID-DY-MER-RINK-ADINK-ABOOMP" (Means I Love You)**
Words, Felix F. Feist. Music, Al Piantadosi. 1910
"Introduced in Chas. Dillingham's production of the American musical comedy 'The Echo' "

1. Down on a Boola Boola Isle,
Where the mermaids chant,
Reigns big chief Crocodile
Beneath an oyster plant.
He loved a sea-nymph selfishly,
Queen of the Gay White Wave.
Each night in his shell he'd go to sea
And in tuneful scales he'd rave:

CHORUS: Skiddy-mer-rink-a-dink-a-boomp, skiddy-mer-rink-a-doo,
Means I love you.
Skiddy-mer-rink-a-dink-a-boomp, skiddy-mer-rink-a-doo,
Means I'll be true
Skiddy-mer-rink-a-dink-a-boomp, skiddy-mer-rink-a-doo,
All the time he {sang/sings} this rhyme
Skiddy-mer-rink-a-dink-a-boomp, skiddy-mer-rink-a-doo,
Means I love you.

2. But when the midnight moon was pale,
King Fish Kokomo
Came floating over with his tale
To say he loved her so;
But she was true to Crocodile,
Said "Koko-Nut, go 'way;
I know, in a very little while
You will hear my lover say:" CHORUS

*Title as given on cover of sheet music, and as indexed by the Levy Collection.
**Title as given at the top of page 1 of the sheet music.