Rushed or busy (6)
I believe the answer is:
hectic
This clue is a double definition.
'rushed' is the first definition.
(I've seen this in another clue)
'busy' is the second definition.
(thesaurus)
(Other definitions for hectic that I've seen before include "Frenetic" , "Frantic, busy" , "particularly busy" , "Full of frantic activity" , "Frantically busy" .)