Doing nothing and indulged, oddly (4)
I believe the answer is:
idle
'doing nothing' is the definition.
(I've seen this before)
'indulged oddly' is the wordplay.
'oddly' means one should take alternating letters.
The alternate letters of 'indulged' are 'IDLE'.
'and' is the link.
(Other definitions for idle that I've seen before include "jobless" , "Not occupied" , "Do very little" , "Ineffectual" , "Dormant" .)