Second person carrying rejected travel permit becomes shifty (7)
I believe the answer is:
Here is my best explanation:
'shifty' is the definition.
(I've seen this before)
'second person carrying rejected travel permit' is the subsidiary indication.
'second person' becomes 'eve' (biblical second person created after Adam).
'carrying' indicates putting letters inside.
'rejected' shows that the letters should be reversed in order.
'travel permit' becomes 'visa' (I've seen this before).
'visa' backwards is 'asiv'.
'eve' going around 'asiv' is 'evasive'.
'becomes' is the link.
(Other definitions for evasive that I've seen before include "Avoiding commitment", "Avoiding the issue", "Slippery", "Not frank or responsive", "Not frank, shifty", "Avoiding answering", "Shifty, dodging question", "Shifty, hard to pin down", "Deliberately vague" and "Dissembling".)