Keep to the right in the south-east (5)
I believe the answer is:
store
'keep' is the definition.
(storing is a kind of keeping)
'to the right in the southeast' is the wordplay.
'the right' becomes 'r' (common abbreviation).
'in the' indicates putting letters inside.
'southeast' becomes 'SE' (synonyms).
'to'+'r'='tor'
'tor' put inside 'se' is 'STORE'.
(Other definitions for store that I've seen before include "Large shop; computer memory" , "Put by; shop" , "Put away for future use" , "Shop; hoard" , "Supermarket" .)