Rings up about the man's record (7)
I believe the answer is:
shellac
'the man's record' is the definition.
'shellac' can be an answer for 'record' (I've seen this before). I am not certain of the 'the man's' bit.
'rings up about' is the wordplay.
'rings' becomes 'shell' (I am not sure about this - if you are sure you should believe this answer much more).
'up' is a reversal indicator (in down clue: letters go upwards).
'about' becomes 'ca' (abbreviation for 'circa').
'ca' in reverse letter order is 'ac'.
'shell'+'ac'='SHELLAC'
Can you help me to learn more?
(Other definitions for shellac that I've seen before include "Resin used for varnish, formerly for records" , "Thin varnish used to finish wood" , "Material of pre-vinyl 78 rpm records" , "old record" , "coat" .)