Playwright with greater story inside (7)
I believe the answer is:
moliere
'playwright' is the definition.
(Moliere is an example)
'greater story inside' is the wordplay.
'greater' becomes 'more'.
'story' becomes 'lie' (I've seen this before).
'inside' means one lot of letters goes inside another.
'more' going around 'lie' is 'MOLIERE'.
'with' is the link.
(Other definitions for moliere that I've seen before include "Fr. comic dramatist" , "French playwright (Tartuffe)" , "17th century French playwright" , "French dramatist" , "C17 French playwright (Le Misanthrope)" .)