A duke at this place gets stick (6)
I believe the answer is:
adhere
'stick' is the definition.
('adhere' can be a synonym of 'stick')
'a duke at this place' is the wordplay.
'duke' becomes 'd'.
'at this place' becomes 'here' ('here' can be a synonym of 'at this place').
'a'+'d'+'here'='ADHERE'
'gets' acts as a link.
(Other definitions for adhere that I've seen before include "'Stick to, a play say (6)'" , "Stick with header" , "Hold fast, stand by" , "Stick or cleave to" , "secure" .)