Judge publication first by value (10)
I believe the answer is:
magistrate
'judge' is the definition.
('magistrate' can be a synonym of 'judge')
'publication first by value' is the wordplay.
'publication' becomes 'mag' (abbreviation for magazine).
'first' becomes 'ist' (**).
'by' says to put letters next to each other.
'value' becomes 'rate' ('rate' can be a synonym of 'value').
'mag'+'ist'+'rate'='MAGISTRATE'
(Other definitions for magistrate that I've seen before include "Law enforcer" , "Court official" , "Justice of the peace" , "Court officer" , "your worship" .)