Recalled idea from internet when fixing British Library logo (6)
I believe the answer is:
emblem
'logo' is the definition.
(a logo is a company emblem)
'recalled idea from internet when fixing british library' is the wordplay.
'recalled' is a reversal indicator.
'idea from internet' becomes 'meme' (repeated idea spread online).
'when fixing' is an insertion indicator (inserted letters are fixed inside).
'british library' becomes 'BL' (abbreviation for British Library).
'meme' backwards is 'emem'.
'emem' enclosing 'bl' is 'EMBLEM'.
(Other definitions for emblem that I've seen before include "Badge or representative device" , "Symbol; heraldic device" , "Symbolic representation on badge etc" , "Typifying symbol" , "Visible symbol of an abstract idea" .)