Driving licence - two different names

my apologies if this has been answered before - I've looked but not seen!

I picked up my French driving licence today having handed over my UK licence but whilst I accept it is in my maiden name, the signature is my married name - is this legal or just the norm?

This was the same for me. Never had a problem with it being accepted as ID. It's normal in France for official documents to be in your maiden name.

"the signature is my married name"

Perhaps that's why most French signatures are unintelligible squiggles

same with my french passport.

it has to be in my maiden name but my signature is in my married name.. the french are feminists at heart!