They give work to doctors, sorrows to the church (6)
I believe the answer is:
chills
'they give work' is the definition.
The definition suggests an adverb but the answer is not.
'doctors sorrows to the church' is the wordplay.
'doctors sorrows' becomes 'ills' (I can't explain this - if you can you should give a lot more credence to this answer).
'to' says to put letters next to each other (I've seen this in other clues).
'the church' becomes 'ch' (common abbreviation).
'ills' after 'ch' is 'CHILLS'.
'to' acts as a link.
Can you help me to learn more?
(Another definition for chills that I've seen is " Sensations of cold".)