Form of celebrity that consumes redhead (5)
I believe the answer is:
frame
'form' is the definition.
(I know that form can be written as frame)
'celebrity that consumes redhead' is the wordplay.
'celebrity' becomes 'fame' (celebrity can mean the quality of being famous).
'that consumes' means one lot of letters goes inside another.
'redhead' becomes 'r' (head letter of 'red').
'fame' going around 'r' is 'FRAME'.
'of' is the link.
(Other definitions for frame that I've seen before include "support structure" , "Supporting, enclosing, structure" , "Falsely incriminate" , "A round of play in snooker" , "Enclosing case or border" .)