Compose music for the monastery, showing taste (8)
I believe the answer is:
penchant
'taste' is the definition.
(I know that taste can be written as penchant)
'compose music for the monastery' is the wordplay.
'compose' becomes 'pen' (synonyms).
'music for the monastery' becomes 'chant' (as in monks chanting).
'pen'+'chant'='PENCHANT'
'showing' acts as a link.
(Other definitions for penchant that I've seen before include "Inclination; taste" , "Predilection, preference" , "Inclination, bent" , "'Predilection, a strong liking (8)'" , "Fondness (for) - bias (towards)" .)