To listen to a number can give encouragement (7)
I believe the answer is:
hearten
'to listen to a number can give encouragement' is the definition.
I can't judge whether this defines the answer.
'to listen to a number' is the wordplay.
'to listen to' becomes 'hear' (to hear something is to listen to it).
'a number' becomes 'ten' (ten is a number).
'hear'+'ten'='HEARTEN'
Can you help me to learn more?
(Other definitions for hearten that I've seen before include "Comfort" , "Encourage in Teheran" , "Be encouraged" , "Inspirit" , "Encourage or cheer in cardiac manner" .)