Lady from Rutherglen dancing (6)
I believe the answer is:
glenda
'lady' is the definition.
'from rutherglen dancing' is the wordplay.
'from' indicates the answer is hidden within the clue.
'GLENDA' is hidden in the letters of 'rutherglen dancing'.
(Other definitions for glenda that I've seen before include "--- Jackson, Br. actress" , "- - Jackson, Hampstead MP" , "Girl" , "-- Jackson, actress and former MP" .)