Fine coffee will take get around your motoring inconvenience (4,4)
I believe the answer is:
flat tyre
'motoring inconvenience' is the definition.
'fine coffee will take get around' is the wordplay.
'fine' becomes 'f' (abbreviation).
'coffee' becomes 'latte' (I've seen this before).
'will take' means one lot of letters goes inside another.
'get around' becomes 'yr' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'latte' going around 'yr' is 'lattyre'.
'f'+'lattyre'='FLAT TYRE'
'your' acts as a link.
This may not be right. It may belong to another bit of the clue.
(Other definitions for flat tyre that I've seen before include "Motorist's problem" , "Puncture (on car)" , "Problem for motorist" , "Driver's problem" , "Deflated rubber on the road" .)