noun, used as a prefix, noun, used as a suffix
inheritance; hand-me-down; something passed on
Used as a prefix or suffix to indicate something received from a previous owner or generation, often with a sense of being second-hand or handed down.
これは父の譲りの腕時計です。
This is a wristwatch handed down from my father.
彼の車は兄からのお譲りだ。
His car is a hand-me-down from his older brother.
譲る is the verb meaning 'to hand over, to concede, to sell'. 譲り is the noun form used in compounds to mean something handed down or inherited.
お下がり specifically refers to hand-me-downs, especially clothes or items from an older sibling. 譲り is broader and can include inheritances or items passed on from anyone.
Noun form of the verb 譲る (yuzuru, 'to hand over, to yield'). The kanji 譲 carries the meaning of 'defer' or 'transfer'.