Wring significa 'retorcer' o 'estrujar'. Es una palabra que no se usa comúnmente en el día a día, lo que la hace interesante y memorable.
En la canción, Elvis canta: "I stand at my window, wring my hands and cry" y "wring my hands and moan". Aquí, "wring my hands" es una expresión idiomática que describe un gesto de angustia, desesperación o preocupación intensa. Es como si el cantante estuviera tan afligido por la partida de su amor que, literalmente, retuerce sus manos en señal de dolor y frustración.
The song circles one fact and never gets past it: she went, and she left no explanation. The singer keeps returning to that absence of a word, and every question he asks is aimed at himself - something he did, or something she overheard. Nothing answers him, so he asks again.
By the second verse he has put himself at the window, hands wrung, saying goodbye is as hard for him as it is for anyone. He never works out why she went, and the band never slows down while he tries. The record ends with him exactly where it found him.