OK, so I upgraded to wordpress 3.5 and pagelines 2.3.8 (from 2.3.5) at the same time, and then something funky happened to my pagelines (see images attached).
I've since downgraded pagelines back to 2.3.8 and wordpress to my previous version (at least I think I have), but I'm still seeing the same funky pagelines.
Any ideas?

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I can absolutely guarantee this is a plugin issue. Try disabling them and clearing your cache, 3.5 had a major jquery update, we have been using it since early alpha with zero problems.
Me too - same problem after updating Pagelines and WP. Features don't work, drop-down menus don't work.
What's to be done?
The site listed as your private moderators only site, for support purposes is not even a PageLines site, so what would you like us to do?