Society girl and teacher picked up the rubble (6)
I believe the answer is:
debris
'the rubble' is the definition.
('debris' can be a synonym of 'rubble')
'society girl and teacher picked up' is the wordplay.
'society girl' becomes 'deb' (I've seen this before).
'and' is a charade indicator (letters next to each other).
'teacher' becomes 'sir' (I've seen this before**).
'picked up' shows that the letters should be reversed in order.
'sir' written backwards gives 'ris'.
'deb'+'ris'='DEBRIS'
(Other definitions for debris that I've seen before include "Rubble, heap of broken pieces" , "Brides with pieces of rubble" , "aftermath of wild reception?" , "Fragments of rubbish" , "Brides among rubble" .)