Second person carrying rejected travel permit becomes shifty (7)
I believe the answer is:
evasive
'shifty' is the definition.
(I've seen this before)
'second person carrying rejected travel permit' is the wordplay.
'second person' becomes 'eve' (biblical second person created after Adam).
'carrying' is an insertion indicator.
'rejected' says the letters should be written backwards.
'travel permit' becomes 'visa' (I've seen this before).
'visa' back-to-front is 'asiv'.
'eve' placed around 'asiv' is 'EVASIVE'.
'becomes' is the link.
(Other definitions for evasive that I've seen before include "Dissembling" , "Shifty, hard to pin down" , "Trying to avoid commitment" , "Shifty, not answering directly" , "Prevaricatory" .)