Ok, it's been making an unpleasant noise while draining/spinning for a little while now. (I've been covering my ears and going 'la la la la', which helps some.)
Sometimes it's been refusing to spin clothes unless I ask it politely (i.e. more than once).
Now it's just not spinning clothes.
I checked the filter thing, and there was water in there, but no blockage.
I haven't checked the outflow pipe, but a blockage there wouldn't explain the noise.
My gut instinct is, it's a motor or pump gone, and it's done for. There is a friendly local independent appliance repair guy I can call, but I thought I'd ask the MN opinion first ...