Books with their own shelf at the Royal Society (7)
I believe the answer is:
ledgers
'books' is the definition.
(ledger is a kind of book)
'shelf at the royal society' is the wordplay.
'shelf' becomes 'ledge' (synonyms).
'at' says to put letters next to each other.
'the royal society' becomes 'RS'.
'ledge'+'rs'='LEDGERS'
'with their own' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for ledgers that I've seen before include "Account books" , "old spreadsheets" , "Books listing commercial transactions" , "Books of accounts" , "Account-books" .)