Having resolution halved, being put off (5)
I believe the answer is:
deter
'put off' is the definition.
(both can mean to discourage)
'having resolution halved being' is the wordplay.
'having resolution' becomes 'det' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'halved' indicates taking half.
'being' becomes 'peer' (peer is a kind of being).
'peer' with half the letters taken is 'er'.
'det'+'er'='DETER'
Can you help me to learn more?
(Other definitions for deter that I've seen before include "Dishearten" , "'Discourage, dissuade (5)'" , "Daunt" , "Try to prevent" , "Cause not to do something" .)