Could make me pet a Greek vale (5)
I believe the answer is:
tempe
'a greek vale' is the definition.
The definition suggests a singular noun which matches the answer.
'could make me pet' is the wordplay.
'could make' indicates an anagram.
'me'+'pet'='mepet'
'mepet' is an anagram of 'TEMPE'.
Can you help me to learn more?
(Other definitions for tempe that I've seen before include "beauty spot" , "peaceful valley" , "beautiful valley" , "Grecian vale" , "valley of great beauty" .)