Note big jug is more fresh (5)
I believe the answer is:
newer
'more fresh' is the definition.
(fresh can mean new or novel)
'note big jug' is the wordplay.
'note' becomes 'n' (abbreviation).
'big jug' becomes 'ewer' (type of jug).
'n'+'ewer'='NEWER'
'is' acts as a link.
(Other definitions for newer that I've seen before include "More modern" , "More up-to-date" , "More recent" , "Fresher, not as old" , "Fresher or more novel" .)