About to probe Chanel, the French globally-recognised brand (4-4)
I believe the answer is:
coca-cola
'globally-recognised brand' is the definition.
'about to probe chanel the french' is the wordplay.
'about to' becomes 'ca' (I've seen this in other clues).
'probe' is an insertion indicator.
'chanel' becomes 'coco' (I've seen this before).
'the french' becomes 'la'.
'ca' inserted inside 'coco' is 'cocaco'.
'cocaco'+'la'='COCA-COLA'
(Other definitions for coca-cola that I've seen before include "Internationally popular American soft drink" , "Soft drink with American origins, abbreviated to Coke" , "Brand of fizzy drink" , "Proprietary soft drink" , "Popular American soft drink, coke in brief" .)