Having rejected work, half-cut goon gets stick (4)
I believe the answer is:
pogo
'stick' is the definition.
(I've seen this before)
'having rejected work half-cut goon' is the wordplay.
'having rejected' shows that the letters should be reversed in order.
'work' becomes 'op' (abbreviation for opus).
'half cut' means to take half the letters.
'op' written backwards gives 'po'.
'goon' cut in half is 'go'.
'po'+'go'='POGO'
'gets' is the link.
(Other definitions for pogo that I've seen before include "Punk movement" , "-- stick" , "gets jumped on by children" , "jump up and down" , "punk dancing" .)