Thirty-two pieces in this musical composed (5,3)
I believe the answer is:
chess set
'thirty-two pieces in this' is the definition.
The definition suggests a singular noun which matches the answer.
'musical composed' is the wordplay.
'musical' becomes 'chess' (Benny Andersson and Bjrn Ulvaeus musical).
'composed' becomes 'set' (I can't explain this - if you can you should believe this answer much more).
'chess'+'set'='CHESS SET'
Can you help me to learn more?
(Other definitions for chess set that I've seen before include "It's played on a chequered board with 32 pieces" , "It's played with kings, queens and bishops" , "Game with kings, queens and bishops" , "King, pawns etc." , "men, along with the board" .)