There's a clue for RIME that I've seen several times: "Frost, to Frost" (or similar). And it's true, "rime" is a word that means "frost" which has a bit of a poetic air about it (although "The Rime of the Ancient Mariner" has nothing to do with shipboard defrosting equipment). However, a search of the complete poems of Robert Frost reveals that the word "rime" never appears in a single Robert Frost poem. Therefore: sorry, but no.
And yes, being a puzzle editor is like this all the time.
Randy Cohen, aka the Ethicist, that is. I'm the guest voice on this week's (July 31) edition of the Ethicist podcast, which fact I have neglected to post until said week is almost over, but anyway -- go here for a streaming version, or right-click here to download it, if time has passed and you missed it, or you just want a copy for posterity, for the alternate future in which I am a voice-over celebrity (first order of business: redub every Droopy Dawg cartoon to make his voice more pleasant).