Old star trained anew, winning first of Grammies (3,5)
I believe the answer is:
red giant
'old star' is the definition.
I can't explain the rest of the clue.
(Other definitions for red giant that I've seen before include "Huge Communist" , "Large star nearing the end of its life" , "Type of star" , "big star" , "Large, cool bright star" .)