Area at back of ice store designed for alien objects (9)
I believe the answer is:
esoterica
'alien objects' is the definition.
(strange or obscure objects)
'area at back of ice store designed' is the wordplay.
'area' becomes 'a' (maths abbreviation).
'at back of' says to put letters next to each other.
'designed' is an anagram indicator (designed with the letters).
'ice'+'store'='icestore'
'icestore' anagrammed gives 'esoteric'.
'a' after 'esoteric' is 'ESOTERICA'.
'for' acts as a link.
(Other definitions for esoterica that I've seen before include "obscure knowledge" , "specialist publications" , "Mysterious items -- ciao trees (anag)" , "Mystic objects" , "Secret subjects" .)