Googie fades away (7)
I believe the answer is:
withers
I believe this clue is a double definition.
'googie' is the first definition.
(googie withers was an entertainer)
'fades away' is the second definition.
(Other definitions for withers that I've seen before include "Highest part of horse's back" , "Ridge at the base of a horse'd neck, from which its height is measured" , "Bit of a nag" , "Part between a horse's shoulder blades" , "Loses freshness or vitality" .)