Going back to quarters to study (4)
I believe the answer is:
swot
'study' is the definition.
(swotting is a kind of studying)
'going back to quarters' is the wordplay.
'going back' says the letters should be written in reverse.
'quarters' becomes 'ws' (**).
'to'+'ws'='tows'
'tows' reversed gives 'SWOT'.
'to' is the link.
(Other definitions for swot that I've seen before include "Informally, one who studies hard" , "Study assiduously" , "Study intensively for an exam" , "Very studious person" , "Intensive studier" .)