Their Mouths Are Ten Too Many

[Lizzie]

Billy boy rips what's left inside
and runs to town -- did you mean to use run twice? If so, carry on.
run by inbred scumbags, chavs, and slags -- slags is a great word, conveys a certain shabbiness or parasitic character
desperately clinging to pubs and clubs
and exhausted applause
like rats to a corpse—trying not to sink into the abyss
of that self that just isn't there, anymore,
by deftly drinking themselves anonymous -- not a fan of deftly, but not a fan of adverbs in general. I honestly don't think you need to modify the verb at all, it stands fine on its own.
and fucking each other again and again and again
in an endless cycle of self-defeat
to defeat _______________ are left inside.

I remember liking the previous ending better, although I didn't memorize it when I had the chance, so I don't have it here to compare.

I think it's interesting that you introduce a 'main character' at the beginning and then don't really talk about him again except by contrast. Is this poem going to be one in a series, perhaps?

I think you have some good sonics going on: corpse-anymore, abyss-anonymous.

Anyway, it's a keeper.