Abandoned team-mates tie without Henry nevertheless (2,3,4,4)
I believe the answer is:
at the same time
'nevertheless' is the definition.
(I've seen this before)
'abandoned team-mates tie without henry' is the wordplay.
'abandoned' indicates an anagram.
'team-mates' becomes 'teammates' ('teammate' can be a synonym of 'team-mate').
'without' is an insertion indicator ('without' can be similar in meaning to 'outside').
'henry' becomes 'h' ('H' can be a synonym of 'henry').
'teammates'+'tie'='teammatestie'
'teammatestie' with letters rearranged gives 'attesametime'.
'attesametime' going around 'h' is 'AT THE SAME TIME'.
(Other definitions for at the same time that I've seen before include "27 [AT ONE FELL SWOOP]" , "Coincidentally - still - however" , "synchronised" , "on the other hand" , "Simultaneously - nevertheless" .)