I'm sick of tellin my other half to put her bags in the boot and not in the foot well when she gets in the car. As a result I have a few scuffs on my glovebox. Is there any way of removing them?

If its a scuff and not a scratch then a pencil eraser may remove the mark. Alternatively a clay bar should lift any transfer off.

I'll try that but think there maybe are scratches

If they are scratches in plastic then the best you can do is mask them by using some trim/vinyl cleaner that leaves a matte finish. That way the light won't shine as much off the plastic and highlight the scratches.

MagicSponge worked on mine..Then some vinyl shine

Can't help you with the plastic, perhaps take an angle grinder to the Mrs and remove any rough edges -I have been sorely tempted to do this in the past.

What is it with women and their handbag in the footwell, drives me mad too.

If the scratch is on the glove box plastic, give it a rub with the HANDLE of a black plastic screwdriver. Only a gentle rub should do the trick. Might be worth having a go somewhere discrete first, boot etc.