Political group identified by your and my piece in LA Times (6,5)
I believe the answer is:
labour party
'political group' is the definition.
(I know that Labour Party is a type of labor party)
'your and my piece in la times' is the wordplay.
'your and my' becomes 'our' (I've seen this in another clue).
'piece' becomes 'part' (synonyms).
'in' indicates putting letters inside.
'times' becomes 'by' (both can mean 'multiplied by').
'our'+'part'='ourpart'
'la'+'by'='laby'
'ourpart' put into 'laby' is 'LABOUR PARTY'.
'identified by' acts as a link.
(Another definition for labour party that I've seen is " people wearing red".)