So-called snob's elite somehow (10)
I believe the answer is:
ostensible
'so-called' is the definition.
(thesaurus)
'snob's elite somehow' is the wordplay.
'somehow' indicates an anagram.
'snobs'+'elite'='snobselite'
'snobselite' anagrammed gives 'OSTENSIBLE'.
(Other definitions for ostensible that I've seen before include "Manifest" , "Apparent" , "Seeming" , "Professed" , "Supposed" .)