A story containing very little that's dynamic (5)
I believe the answer is:
alive
'dynamic' is the definition.
(thesaurus)
'a story containing very little' is the wordplay.
'story' becomes 'lie' (I've seen this before).
'containing' means one lot of letters goes inside another.
'very little' becomes 'v' (abbreviation or little form for 'very').
'lie' going around 'v' is 'live'.
'a'+'live'='ALIVE'
'that's' acts as a link.
(Other definitions for alive that I've seen before include "''Crying cockles and mussels, ..., ..., oh'' (Molly Malone)" , "Animated, on the ball" , "surviving" , "answer, as it happens" , "Animated and kicking" .)