A little church festival (4)
I believe the answer is:
whit
'festival' is the definition.
(I know that Whit is a type of religious festival)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for whit that I've seen before include "Iota" , "Pentecost (abbrev.)" , "Modicum" , "Small piece - 7th Sunday after Easter" , "Tiny amount; a church Sunday" .)