Object, being not quite totally bashful? (5)
I believe the answer is:
demur
'object' is the definition.
(to demur is to object to something)
'not quite totally bashful?' is the wordplay.
'not quite totally' means to remove the last letter.
'bashful?' becomes 'demure' (I've seen this in another clue).
'demure' with its last letter taken away is 'DEMUR'.
'being' acts as a link.
(Other definitions for demur that I've seen before include "Dissent, object" , "Cavil, dispute" , "Hesitation" , "Protest mildly, show reluctance" , "'Object, show reluctance (5)'" .)