You are left with a big hole, but you can buy a glove box lining, details below:
1M08686591UQ - Glovebox Lining £9.38
It just goes in place of where the changer was, remember to keep the surround that fits over the screws too, I didn't..... DOH !!!!!
I have one in mine.
EDIT: Just seen your post about it being an A3 dash, not sure if this lining will fit, its cheap enough to try though.