My vet told me he wouldn't need any more medication until the next day. It was pretty difficult to ignore the soft whining - I just felt so bad every time I heard it, thinking he must be in pain! Anyway, I gave him lots of cuddles and a big warm fluffy blanket to curl up in and that seemed to quiet him a little more.
He's doing just great now. By the next day he was perfectly normal and didn't seem to even realize he'd had a procedure done! It must've been the anaesthesia wearing off after all!
On a side note, he woke me up four times during the night to go pee. I guess an IV hook-up equals a REALLY fully bladder for these little guys