"I'm Being Swallowed by a Boa Constrictor" (oh no, he swallowed my toe; oh gee, he swallowed my knee; etc.)

Here's one that doesn't actually mention dismemberment but is about someone who hacked himself up a bit before he did himself in completely: Don McLean's "Vincent" (starry starry night)

Hmmm... what about "All of Me" and "All or Nothing at All"? Or maybe "I Can't Help Falling in Love with You" (take my hand, take my whole life, too...)? Wait; I know: "I Fall to Pieces"!


It may not fit the theme exactly, but there's a weird little big-band song from the 1930s sung by Bunny Berrigan (who was a man!) entitled "My Heart and I" and it goes like this:

My heart and I were discussing your charms;
We decided that you should be in my arms.
My arms and I felt a thrill at the start;
We decided that you should be in my heart.
We're so in love with you, just my heart and I.
Love me, too; then as years go by,
Both my heart and I will forever be true
For all that we want is your heart and you.