Local team in split (8)
I believe the answer is:
resident
'local' is the definition.
(a resident of a particular area)
'team in split' is the wordplay.
'team' becomes 'side' (both can mean a sports team).
'in' indicates putting letters inside.
'split' becomes 'rent' (past tense of 'rend' meaning to split).
'side' going into 'rent' is 'RESIDENT'.
(Other definitions for resident that I've seen before include "Occupant's" , "Inhabitant, occupant" , "Inserted by permanent inhabitant" , "Citizen" , "one in the house?" .)