Side with a large following increasingly delayed (7)
I believe the answer is:
lateral
'side' is the definition.
(synonyms)
'a large following increasingly delayed' is the wordplay.
'large' becomes 'L' (eg in clothes sizes).
'following' means one lot of letters go next to another.
'increasingly delayed' becomes 'later' (taking place later).
'a'+'l'='al'
'al' after 'later' is 'LATERAL'.
'with' acts as a link.
(Other definitions for lateral that I've seen before include "to one side" , "Relating to the side" , "Shoot" , "belonging to the side" , "Sideways, like creative thinking" .)