Discs that may be broken? (7)
I believe the answer is:
records
I believe this clue is a double definition.
'discs' is the first definition.
('record' can be a synonym of 'disc')
'that may be broken?' is the second definition.
(as in world records)
(Other definitions for records that I've seen before include "Archives" , "Annotations of events" , "Makes written note" , "Discs" , "LPs, e.g." .)