Kitchen item in British Library? (7)
I believe the answer is:
blender
'kitchen item' is the definition.
(I've seen this in another clue)
'british library?' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'library?' becomes 'lender' (libraries lend books).
'b'+'lender'='BLENDER'
'in' is the link.
(Other definitions for blender that I've seen before include "Kitchen device" , "Kitchen utensil" , "Kitchen machine" , "used to make assets liquid?" , "(Food) mixer" .)