It's hard to make a name that's on record (7)
I believe the answer is:
adamant
'it's hard' is the definition.
(I've seen this before)
'a name that's on record' is the wordplay.
'a name' becomes 'Ad'.
'that's on record' becomes 'amant' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'ad'+'amant'='ADAMANT'
'to make' is the link.
Can you help me to learn more?
(Other definitions for adamant that I've seen before include "Resolute; diamond (arch.)" , "Refusing to be persuaded" , "6a [PRINCESS IDA] 's fortress < for unyielding" , "Unswerving" , "Hard and unrelenting" .)