Musical chairs without wings (4)
I believe the answer is:
hair
'musical' is the definition.
(1960s musical)
'chairs without wings' is the wordplay.
'without wings' indicates the central letters (the letters on the edges might be called wings).
The centre of 'chairs' is 'HAIR'.
(Other definitions for hair that I've seen before include "Famous hippy musical of hirsute character" , "It grows from a follicle" , "Fuzz" , "Penitent's shirt material" , "Barber's speciality; musical" .)