Held up by the visa: very devious! (7)
I believe the answer is:
evasive
'devious' is the definition.
(I've seen this before)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for evasive that I've seen before include "Shifty, not answering directly" , "Shifty, dodging question" , "Shifty, not direct in answering" , "Devious" , "Avoiding commitment" .)