Later taking a jug to the Nag's Head (5)
I believe the answer is:
newer
'later' is the definition.
('new' can be similar in meaning to 'late')
'a jug to the nag's head' is the wordplay.
'a jug' becomes 'ewer' (type of vessel).
'to' says to put letters next to each other (I've seen this in other clues).
'head' indicates taking the first letters.
The initial letter of 'nags' is 'n'.
'ewer' put after 'n' is 'NEWER'.
'taking' is the link.
(Other definitions for newer that I've seen before include "Fresher, not as old" , "Fresher or more novel" , "More current" , "More modern" , "More pristine or recently invented" .)