This is about having strong feelings for a person who doesn't feel that way about you. When you are near that person you get a special "sweet" feeling. "The sweetness will not be concerned with me" is saying that that person doesn't feel the same way.
In a Songfacts interview with Jimmy Eat World frontman Jim Adkins, he said of this song: "It's just about feeling unfulfilled and where you're looking for relationship validation. It's a scene that I come back to a lot. You know, if that's where you're hoping and wishing to get your sense of happiness and self worth, you're going to be searching forever. You can know that and you can believe it and you can take it in, but sometimes you're lonely. And it's hard, and you forget the truth behind it. Everybody just kind of comes back to that sometimes. You've got to remind yourself."
There are two versions of this song, one in which the lyric is "Strap from your tether unwinds," the other "String from your tether unwinds;" however the lyric is officially documented as "Strap."
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