Take a lot of time to become socially accepted? (6)
I believe the answer is:
belong
'time to become socially accepted?' is the definition.
I can't tell whether this definition defines the answer.
'take a lot' is the wordplay.
'take' becomes 'be' (being is a kind of taking).
'a lot' becomes 'long' (I can't justify this - if you can you should believe this answer much more).
'be'+'long'='BELONG'
'of' acts as a link.
(Other definitions for belong that I've seen before include "Be the property of" , "Pertain" , "Appertain" , "accepted socially" , "Have a proper place (in)" .)