Exclude boy, specifically, from local cookout (6)
I believe the answer is:
barbie
'local cookout' is the definition.
The definition suggests a singular noun which matches the answer.
'exclude boy specifically' is the wordplay.
'exclude' becomes 'bar' (synonyms).
'boy' becomes 'b' (abbreviation used in schools).
'specifically' becomes 'ie' (I can't explain this - if you can you should believe this answer much more).
'bar'+'b'+'ie'='BARBIE'
'from' is the link.
Can you help me to learn more?
(Other definitions for barbie that I've seen before include "Outdoor party" , "Famous fashion doll" , "Australian BBQ" , "Popular doll" , "meal out" .)