I didn't see a recent post on this topic, so I thought I'd give it a go:
I'm a potential shortlist for a gig in Ireland, and I'm eligible for a 1-year working holiday visa as a U.S. citizen. Does anyone know what the usual turnaround time is for these things when processing in the U.S.?
You've checked out all the requirements here, yes?
https://www.dfa.ie/travel/visas/us-ireland-visa-arrangements/
They list the various consulates so you could call one of them to ask about the possible time frame...but since it is a two step process, it could take some time.
Good luck