Check German export close to Stuttgart (5)
I believe the answer is:
audit
'check' is the definition.
(an audit is an examination or check)
'german export close to stuttgart' is the wordplay.
'german export' becomes 'audi' (I've seen this in another clue).
'close to' suggests the final letters (the 'close' to the word).
The final letter of 'stuttgart' is 't'.
'audi'+'t'='AUDIT'
(Other definitions for audit that I've seen before include "Inspection of the account books" , "Official inspection of company accounts" , "Inspect accounts" , "Financial investigation" , "Financial check" .)