Accept as true current bookkeeping entry (8)
I believe the answer is:
accredit
'accept as true' is the definition.
(I've seen this before)
'current bookkeeping entry' is the wordplay.
'current bookkeeping' becomes 'ac' (I am not sure about this - if you are sure you should believe this answer much more).
'entry' becomes 'credit' (credit entry is a kind of entry).
'ac'+'credit'='ACCREDIT'
Can you help me to learn more?
(Other definitions for accredit that I've seen before include "Show to be correct" , "Trace CID and send them with credentials" , "Endorse" , "Red cacti (anag)" , "Accept as true" .)