Place buzzing 1960s style (7)
I believe the answer is:
beehive
I believe this clue is a double definition.
'place buzzing' is the first definition.
(bees buzz)
'1960s style' is the second definition.
(hair style)
(Other definitions for beehive that I've seen before include "place of business" , "where workers gather" , "Structure in an apiary" , "unusually high overheads?" , "Hairstyle; source of honey" .)