Look at account that's initially given after a 1965 crisis (5)
I believe the answer is:
audit
'look at account' is the definition.
'that's initially given after a 1965 crisis' is the wordplay.
'initially' indicates taking the first letters.
'given after' means one lot of letters go next to another.
'1965 crisis' becomes 'udi' (Rhodesian Unilateral Declaration of Independence).
The initial letter of 'that' is 't'.
'a'+'udi'='audi'
't' after 'audi' is 'AUDIT'.
(Other definitions for audit that I've seen before include "Formally examine" , "Check of books" , "Verify accounts" , "Examination of accounts" , "review of books" .)