Stick publicity notice in this place (6)
I believe the answer is:
adhere
'stick' is the definition.
(I know that stick can be written as adhere)
'publicity notice in this place' is the wordplay.
'publicity notice' becomes 'ad' (advertisement).
'in this place' becomes 'here' (synonyms).
'ad'+'here'='ADHERE'
(Other definitions for adhere that I've seen before include "Agree" , "Stick to as by suction" , "Stick to - cement" , "Stick with header" , "Keep" .)