Publication that may be used in church (5)
I believe the answer is:
organ
'publication' is the definition.
(organ is a kind of publication)
'may be used in church' is the wordplay.
'may be' becomes 'org' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'used in' says to take the centre (the letters used on the inside of the word).
'church' becomes 'fane'.
The central letters of 'fane' are 'an'.
'org'+'an'='ORGAN'
'that' acts as a link.
Can you help me to learn more?
(Other definitions for organ that I've seen before include "Perhaps one that's stopped" , "Pipe or reed instrument" , "Mouthpiece" , "stops on one" , "Medium of information - most churches have one" .)