I picked up my MBP yesterday with a new LCD fitted.
They had explained they were very busy and quoted 5 - 7 days for the repair and it took 5 days, so I'm perfectly happy with that.
The cost of the repair was £452 in total, which isn't cheap by any means. They had replaced not just the screen, but the cable, housing and bezel so basically all the computer beyond the hinges.
I'm just relieved it's covered by AppleCare.