Grant wangled coke somehow (11)
I believe the answer is:
acknowledge
'grant' is the definition.
(thesaurus)
'wangled coke somehow' is the wordplay.
'somehow' indicates an anagram.
'wangled'+'coke'='wangledcoke'
'wangledcoke' anagrammed gives 'ACKNOWLEDGE'.
(Other definitions for acknowledge that I've seen before include "Express thanks for" , "Admit the truth of (something)" , "Confess" , "Admit - recognise - thank" , "Indicate obligation to" .)