Crossword started (bloody Brummie!) — time to have belief (6)
I believe the answer is:
credit
'belief' is the definition.
(thesaurus)
'crossword started bloody brummie time' is the wordplay.
'started' suggests taking the first letters.
'bloody' becomes 'red'.
'brummie time' becomes 'it' (I can't justify this - if you can you should believe this answer much more).
The initial letter of 'crossword' is 'c'.
'c'+'red'+'it'='CREDIT'
'to have' is the link.
(Other definitions for credit that I've seen before include "Have faith" , "Money available for a client to borrow" , "Arrangement for deferred payment" , "Belief - trust - favourable acknowledgment" , "Add (an amount) to an account" .)