Story that might be "tall" (4)
I believe the answer is:
tale
'story that might be tall' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for tale that I've seen before include "See 12" , "Old wives' recital?" , "See 20" , "Story or anecdote" , "Shakespeare play: 'The Winter's . . . .'" .)