Treasure potential riches with aspiration (7)
I believe the answer is:
cherish
'treasure' is the definition.
('cherish' can be a synonym of 'treasure')
'potential riches with aspiration' is the wordplay.
'potential' indicates anagramming the letters.
'with' means one lot of letters go next to another.
'aspiration' becomes 'h' (I've seen this in other clues**).
'riches' with letters rearranged gives 'cheris'.
'cheris'+'h'='CHERISH'
(Other definitions for cherish that I've seen before include "Hold dear, be fond of" , "Nurse" , "Hold dear, keep in one's heart" , "Love" , "Hold dear -- he's rich (anag)" .)