The Arne composition to raise the spirits (7)
I believe the answer is:
hearten
'to raise the spirits' is the definition.
I can't tell whether this definition defines the answer.
'the arne composition' is the wordplay.
'composition' indicates an anagram (letters arranged or composed in a different order).
'the'+'arne'='thearne'
'thearne' with letters rearranged gives 'HEARTEN'.
Can you help me to learn more?
(Other definitions for hearten that I've seen before include "Make cheerful" , "Make (someone) more confident" , "Be encouraged" , "giving cheer" , "Inspirit" .)