Stranger has an entertaining story (5)
I believe the answer is:
alien
'stranger' is the definition.
(synonyms)
'an entertaining story' is the wordplay.
'entertaining' is an insertion indicator (inviting in, as for dinner).
'story' becomes 'lie' (story can mean a fabrication).
'an' placed around 'lie' is 'ALIEN'.
'has' is the link.
(Other definitions for alien that I've seen before include "Little green man, perhaps" , "exciting film based in space" , "Foreign; extraterrestrial" , "Offensive" , "Stranger" .)