Need

A literal meaning is it's about a girl who's in love with somebody who can't return her feelings or has been in a dysfunctional relationship with.

"You're a curse I cut my lips on your diamond hands I'm at my worst When you're breaking my heart's relent"

She sees this love as a curse since it breaks her heart to be in love with him when he can't love her back (you're a curse). She's in the worst condition she's ever been in (I'm at my worst).

"There's something to say that you don't know You're walking away when I won't go This isn't the first time you won't stay"

Even though he's been leaving her (You're walking away) possibly this is a habit of his (This isn't the first time you won't stay), she wont leave him (When I won't go).

"This isn't the last time you will hear me say

Bleed me from the heart Need me for my heart" She keeps reminding him that she needs him (This isn't the last time you will hear me say) and she pleads for him to take her back in order to fix her broken heart (Need me for my heart).

"I saw you first You caught me eye in a sideways glance You're making it worse When you told me I had my chance"

He's leaving her for another girl ( I saw you first) ,who she was possible fighting with over him/a girl he's been cheating with, and this hurts her deeply since he told her she had a chance to be with him (When you told me I had my chance).

"So what can I say to make it clear? You're running away when I'm still here This isn't the first time you won't stay This isn't the last time you will hear me say"

Once again, she wants to let him know she still loves him, and she's still not going anywhere.

"Say the words Sung the song you once wrote It's like a curse And I'm winding around my throat"

She wants him to tell her she loves her (say the words), and she sings a song he once wrote her (sung the sang you once wrote). She can't deal with the pain and she contemplates suicide (I'm winding around my throat) (NOTE: I'm a bit iffy about the suicide contemplation).

"I'd shown you the way but you won't try You'd tear us apart but this won't die This isn't the first time you won't stay This isn't the last time you will hear me say"

She's told them ways they can be together (I'd shown you the way...), but he refuses since he wants nothing to do with her/ they've already tried everything the can (.... but you wont try)

"Bleed me from the heart Need me for my heart"

She still pleads to be with him.

Just and interpretation I came up with on the spot :), so it may not be right.

Well, TheBansh33 pretty much has it summed up. It's about unrequited love to the point of obsession. "Bleed me from the heart" basically means, draw her "blood" aka her love/passion directly from the source, "heart". Now, "need me for my heart" seems like she's asking, love me for my devotion to you. Total obsession. A great song with an addictive beat and rhythm, but somewhat disappointing just how simplistic and cliche it is, not their usual type of work. But hey, everyone's a critic right?