Story about Edith Head will lift the spirits (5)
I believe the answer is:
elate
'lift the spirits' is the definition.
(I've seen this in another clue)
'story about edith head' is the wordplay.
'story' becomes 'tale' (synonyms).
'about' is a reversal indicator.
'head' says to take the initial letters.
The initial letter of 'edith' is 'e'.
'tale' backwards is 'elat'.
'elat'+'e'='ELATE'
'will' is the link.
(Other definitions for elate that I've seen before include "Lift (the spirits)" , "Exhilarate, put in high spirits" , "Encourage" , "transport?" , "Uplift (mood)" .)