The three syllables of "anything" in the repeated line "I don't have anything" are all sung to different pitches (G F Db), musically giving a sense of breadth.
While it's probably intended to be causal (in the same way that the title phrase is), the line "Since you walked out on me, oh, in walked old misery" in the bridge could also be understood as temporal.
"Share" in the line "And I don't have love to share" is sung with a melisma (F Db); since the word is sung to two different pitches, there's a musical sense of that "shar[ing]."