Public storyteller they say's a detached individual (7)
I believe the answer is:
outlier
'a detached individual' is the definition.
(an outlier is a person separate from others)
'public storyteller they say's' is the wordplay.
'public' becomes 'out' (out can mean released to the public).
'storyteller' becomes 'liar' (someone telling lies).
'they say's' indicates a 'sounds like' (homophone) clue.
'liar' is a homophone of 'lier'.
'out'+'lier'='OUTLIER'
(Other definitions for outlier that I've seen before include "Exception" , "One detached from main grouping" , "Statistical anomaly" , "isolated example" , "isolated person" .)