Prefer one place, on reflection, for pets (10)
I believe the answer is:
favourites
'pets' is the definition.
('favourite' can be a synonym of 'pet')
'prefer one place on reflection' is the wordplay.
'prefer' becomes 'favour' ('favour' can be a synonym of 'prefer').
'one' becomes 'i' (Roman numeral).
'place' becomes 'set' ('set' can be a synonym of 'place').
'on reflection' says the letters should be written backwards.
'set' in reverse letter order is 'tes'.
'favour'+'i'+'tes'='FAVOURITES'
'for' is the link.
(Other definitions for favourites that I've seen before include "Pets" , "those we rate highly" .)