Inane folk broadcast at home wearing ladies' underwear (13)
I believe the answer is:
scatterbrains
'inane folk' is the definition.
(I know that forgetful person are often asinine)
'broadcast at home wearing ladies' underwear' is the wordplay.
'broadcast' becomes 'scatter' (broadcast can mean to scatter seeds).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'wearing' is an insertion indicator.
'ladies' underwear' becomes 'bras'.
'in' going into 'bras' is 'brains'.
'scatter'+'brains'='SCATTERBRAINS'
(Another definition for scatterbrains that I've seen is " Disorganised types".)