Providing accommodation abroad - at full speed (4,3)
I believe the answer is:
flat out
'at full speed' is the definition.
(I've seen this before)
'providing accommodation abroad' is the wordplay.
I cannot quite see how this works, but
'accommodation' could be 'flat' (type of residence) and 'flat' is located in the answer.
'abroad' could be 'out' (abroad can mean away or out) and 'out' is located in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for flat out that I've seen before include "very quickly?" , "full tilt?" , "Bluntly" , "Lying on floor" , "At top speed; intense (effort)" .)