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' (abbreviation).
'in the' means one lot of letters goes inside another.
'southeast' becomes 'SE' (synonyms).
'to'+'r'='tor'
'tor' placed within '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" .)