Possibly out at church, we feel (5)
I believe the answer is:
touch
'feel' is the definition.
(I know that touch is a type of feel)
'possibly out at church' is the wordplay.
'possibly' is an anagram indicator.
'at' is a charade indicator (letters next to each other).
'church' becomes 'ch' (common abbreviation).
'out' is an anagram of 'tou'.
'tou'+'ch'='TOUCH'
'we' is the link.
I am not very happy about this link. It may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for touch that I've seen before include "Handle; feel" , "Come into contact with" , "Pinch" , "Side beyond playing area" , "spot" .)