Nevertheless simultaneously? (2,3,4,4)
I believe the answer is:
at the same time
I believe this clue is a double definition.
'nevertheless' is the first definition.
(I've seen this before)
'simultaneously?' is the second definition.
('at the same time' can be a synonym of 'simultaneously')
(Other definitions for at the same time that I've seen before include "27 [AT ONE FELL SWOOP]" , "together" , "Coincidentally - still - however" , "synchronised" , "nonetheless" .)