Outlook shows promise (8)
I believe the answer is:
prospect
I believe this is a double definition.
'outlook' is the first definition.
(I know that outlook can be written as prospect)
'promise' is the second definition.
(thesaurus)
'shows' is the link.
(Other definitions for prospect that I've seen before include "Gray's view of Eton College" , "View - likely future" , "Expectation" , "View - outlook" , "Look for valuable minerals" .)