Back when surnames started to be a thing for everyone, my impression was that you were named after a profession e.g Smith.
There are plenty of Clarks, and some Carvers, and Parkers (although, secondary question, which profession was that?) but no Scribes.
Was it just that Clark was a better umbrella term?
Almost all the people who had the ability and the means to copy scriptures in Western Europe north of the Alps during the Middle Ages were monks or members of the clergy. Rulers mostly relied on clerics (clerici regis) for writing who formed a "court chapel" or later, a "Chapel Royal" which travelled with the king. In this way, the terms clericus, clerc and clerk became associated with the profession of the scribe.
It sort of did however the name associated with it was Scrivener http://www.surnamedb.com/Surname/Scrivener