Introduce faction in local rising (5,2)
I believe the answer is:
bring up
'introduce' is the definition.
(thesaurus)
'faction in local rising' is the wordplay.
'faction' becomes 'ring' (both can mean a group of people).
'in' indicates putting letters inside.
'local' becomes 'pub' (one's local pub).
'rising' says the letters should be written backwards (going up in a down clue).
'pub' in reverse letter order is 'bup'.
'ring' placed into 'bup' is 'BRING UP'.
(Other definitions for bring up that I've seen before include "Raise (topic)" , "train" , "Rear like child, or mention for discussion" , "Rear, or raise for discussion" , "Raise the issue (in two ways!)" .)