Stories a member finishes (7)
I believe the answer is:
legends
'stories' is the definition.
(legend is a kind of story)
'a member finishes' is the wordplay.
'a member' becomes 'leg' (member can mean a limb).
'finishes' becomes 'ends' ('end' can be a synonym of 'finish').
'leg'+'ends'='LEGENDS'
(Other definitions for legends that I've seen before include "Stories handed down from the past" , "Such as George Best and Stanley Matthews" , "Myths or inscriptions" , "Myths, fables" , "Folk tales" .)