The speaker tells a woman (we're guessing her name is Celia) to drink to him only with her eyes – kind of like saying "cheers," but with her eyes instead of raising a glass. He goes on to describe his "thirst" for this woman.
We're not totally sure how much Celia likes the speaker, though. He tells us about how he sent her a wreath of flowers once, but she returned it. The cool thing is that, even though she returned the wreath, it never wilted. Somehow, Celia breathing on the wreath has given it eternal life.