Sing some church anthems (5)
I believe the answer is:
chant
'sing' is the definition.
(chanting is a kind of singing)
'some church anthems' is the wordplay.
'some' says the answer is hidden in the clue (some of the parts of the word are used).
'CHANT' can be found hidden inside 'church anthems'.
(Other definitions for chant that I've seen before include "(Ritual) incantation" , "Incantatory song" , "Repetitious sung slogan" , "Intone (psalm)" , "Repeated rhythmic song" .)