Go right back in crowd and advance (8)
I believe the answer is:
progress
'advance' is the definition.
('progress' can be a synonym of 'advance')
'go right back in crowd' is the wordplay.
'right' becomes 'r' (common abbreviation).
'back' says the letters should be written backwards.
'in' indicates putting letters inside.
'crowd' becomes 'press' (press is a kind of crowd**).
'go'+'r'='gor'
'gor' in reverse letter order is 'rog'.
'rog' inserted within 'press' is 'PROGRESS'.
'and' is the link.
(Other definitions for progress that I've seen before include "Headway" , "Go on - journey" , "Go forward" , "Move forward" , "Breakthrough - advance" .)