Concede around New Year: 'Florida's where retiree might live' (6,4)
I believe the answer is:
granny flat
'where retiree might live' is the definition.
'concede around new year florida's' is the wordplay.
'concede' becomes 'grant' (synonyms).
'around' is an insertion indicator.
'new year' becomes 'ny' (abbreviation).
'florida' becomes 'fla' (abbreviation).
'ny'+'fla'='nyfla'
'grant' going around 'nyfla' is 'GRANNY FLAT'.
(Other definitions for granny flat that I've seen before include "separate quarters" , "section of house?" , "Accommodation for old" .)