Hi Jake,
as you haven't posted the lyrics and you said you made them up as you sang the song I don't intend to comment on the verses.
I think the song would work with just the clapping as accompaniment, get rid of the noises and just leave the singing. I heat the chorus double tracked and the handclapping a little heavier but other than that I thought it worked.
A good start. I hope you get some words you want to keep and re-record it.
Keith