Dubious bishop in sporty car, well-padded means of transport (5,3)
I believe the answer is:
jiffy bag
'well-padded means of transport' is the definition.
I know nothing about this answer so I cannot judge whether this works.
'dubious bishop in sporty car' is the wordplay.
'dubious' becomes 'iffy' (I've seen this before).
'bishop' becomes 'b' (abbreviation used in chess).
'in' indicates putting letters inside.
'sporty car' becomes 'jag' (short for Jaguar. I am not sure about the 'sporty' bit.**).
'iffy'+'b'='iffyb'
'iffyb' placed within 'jag' is 'JIFFY BAG'.
Can you help me to learn more?
(Another definition for jiffy bag that I've seen is " Padded envelope".)