Draymen regularly avoided Sussex town (3)
I believe the answer is:
rye
'sussex town' is the definition.
(I've seen this before)
'draymen regularly avoided' is the wordplay.
'regularly avoided' means one should take alternating letters.
The alternating letters of 'draymen' are 'RYE'.
(Other definitions for rye that I've seen before include "Burns's body came through" , "Hard liquor" , "Grain crop" , "Bitterly regret" , "J D Salinger novel 'The Catcher in the ...'" .)