South African (half-cut) visits Sark etc, receiving cheers (also half-cut) for vegetable (8)
I believe the answer is:
zucchini
'vegetable' is the definition.
(zucchini is a kind of vegetable)
'south african half-cut visits sark etc receiving' is the wordplay.
'south african' becomes 'zulu' (I've seen this before).
'half' suggests halving the letters.
'cut visits' becomes 'chin' (I am not sure about this - if you are sure you should believe this answer much more).
'sark etc' becomes 'ci' (abbreviation for Channel Islands).
'receiving' indicates putting letters inside.
'zulu' cut in half is 'zu'.
'chin' going inside 'ci' is 'cchini'.
'zu'+'cchini'='ZUCCHINI'
'cheers also half-cut for' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
(Other definitions for zucchini that I've seen before include "US vegetable" , "American courgette" , "Courgette in North America" , "green" , "Courgette (US)" .)