Academic American ignored in workshop (6)
I believe the answer is:
studio
'workshop' is the definition.
(I know that workshop can be written as studio)
'academic american ignored in' is the wordplay.
'academic' becomes 'studious' (academic can mean studious or scholarly).
'american' becomes 'US' (abbreviation for United States).
'ignored in' suggests deleting specific letters.
'studious' with 'us' taken away is 'STUDIO'.
(Other definitions for studio that I've seen before include "Workplace for production of film, say" , "Film-making company" , "In which to make a film or programme" , "An artist may work in this room" , "Elstree area" .)