Bookkeeper's office (13)
I believe the answer is:
librarianship
'bookkeeper's office' is the definition.
'librarianship' can be an answer for 'office' (librarianship is a kind of office). I am unsure of the 'bookkeeper's' bit.
'bookkeeper's office' is the wordplay.
'bookkeeper's' becomes 'librarian's' (librarians look after books).
'office' becomes 'hip' (I can't justify this - if you can you should give a lot more credence to this answer).
'librarians'+'hip'='LIBRARIANSHIP'
Can you help me to learn more?
(Another definition for librarianship that I've seen is " Book custodian's skill".)