The next moment (6)
I believe the answer is:
second
I believe this clue is a double definition.
'the next' is the first definition.
(thesaurus)
'moment' is the second definition.
(second moment is a kind of moment)
(Other definitions for second that I've seen before include "Small fraction of a day" , "A boxer's corner assistant - not the first" , "Behind" , "Silver medal position" , "Moment in time" .)