Place of learning and inspiration? Let me see (6)
I believe the answer is:
museum
'place of learning' is the definition.
'inspiration? let me see' is the wordplay.
'inspiration?' becomes 'muse'.
'let me see' becomes 'um' (both might be said when hesitating).
'muse'+'um'='MUSEUM'
'and' is the link.
(Other definitions for museum that I've seen before include "tourist attraction" , "Building for housing objects of historical or scientific interest" , "Gallery of curiosities" , "Collection of antiquities" , "Use Mum for this repository" .)