Upset cleaner chasing bill for place of worship (10)
I believe the answer is:
tabernacle
'place of worship' is the definition.
(tabernacle is a kind of place of worship)
'upset cleaner chasing bill' is the wordplay.
'upset' is an anagram indicator.
'chasing' is a charade indicator (letters next to each other).
'bill' becomes 'tab' (tab is a kind of bill**).
'cleaner' with letters rearranged gives 'ernacle'.
'ernacle' put after 'tab' is 'TABERNACLE'.
'for' acts as a link.
(Other definitions for tabernacle that I've seen before include "Portable tent" , "Mormon meeting-place" , "Mormon temple" , "sanctuary" , "Tent for the Ark of the Covenant" .)