Handmade edges by Irish weaver's a family thing (8)
I believe the answer is:
heirloom
'a family thing' is the definition.
(as in a family heirloom)
'handmade edges by irish weaver's' is the wordplay.
'edges' suggests removing the centre (I've seen 'edges of' mean this).
'by' is a charade indicator (letters next to each other).
'irish' becomes 'IR' (abbreviation).
'weaver' becomes 'loom' (I've seen this before).
'handmade' with its middle taken out is 'he'.
'he'+'ir'+'loom'='HEIRLOOM'
(Other definitions for heirloom that I've seen before include "Something that has been in a family for generations" , "Family bequest" , "Hand-me-down" , "old family piece" , "Valuable object handed down" .)