President sending out Romney for one task (6)
I believe the answer is:
errand
'task' is the definition.
(an errand is a task or job)
'president sending out romney for one' is the wordplay.
I cannot really understand how this works, but
'one' could be 'an' (an apple is one apple) and 'an' is located in the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for errand that I've seen before include "Useful journey" , "short shopping trip" , "Short journey to get or carry message" , "Short journey to get or bring" , "Commission, task" .)