Oscar having to hang around to do some housework? (6)
I believe the answer is:
hoover
'to do some housework?' is the definition.
(to hoover is to use a vacuum cleaner)
'oscar having to hang' is the wordplay.
I cannot really see how this works, but
'oscar' could be 'o' (phonetic alphabet: alpha, bravo, charlie etc.) and 'o' is located in the answer.
'hang' could be 'hover' (I've seen this before) and 'hover' is located in the leftover letters.
This accounts for all the letters.
This explanation may well be incorrect...
'around' acts as a link.
(Other definitions for hoover that I've seen before include "J Edgar ...... was FBI boss." , "US president, 1929-33" , "Vacuum-cleaner" , "Vacuum cleaner of the old American president" , "Type of 5 down" .)