@NigelTufnel
We played an interpretation of it in a mostly-acoustic outfit in college at the campus coffee place. (I think I also did it solo?) Anyway, I was mostly playing 12-string so I remember coming up with odd ways to do the "space guitar" colors in the intro/vamp.
When I saw your toot the chord structure came right back to me, even though I haven't heard it (or touched the tune) since then. Although I think we did it in D or maybe C depending how I had the 12-string set up. Who knows.
@NigelTufnel
I just listened to the original for the first time in who-knows-how-long. We definitely went slower and let weirdness reign.
The only other Police songs I remember covering in college were Bring on the Night (I don't think that band ever played a gig!) and a funk/r&b band doing Demolition Man at something approaching 220bpm. (Or I guess 110 but double time.) I know I've since showed plenty of kids/students how some Police songs work, but I don't think there were any other covers.