Dubiously feel bid is producing scepticism (9)
I believe the answer is:
disbelief
'scepticism' is the definition.
(synonyms)
'dubiously feel bid is' is the wordplay.
'dubiously' is an anagram indicator.
'feel'+'bid'+'is'='feelbidis'
'feelbidis' anagrammed gives 'DISBELIEF'.
'producing' acts as a link.
(Other definitions for disbelief that I've seen before include "Lack of faith" , "Refusal to advance credit" , "Incredulity" , "having exhausted trust fund?" .)