Republics with no local souvenirs (6)
I believe the answer is:
relics
'souvenirs' is the definition.
('relic' can be a synonym of 'souvenir')
'republics with no local' is the wordplay.
'with no' suggests deleting specific letters.
'local' becomes 'pub' (I've seen this before).
'republics' with 'pub' taken out is 'RELICS'.
(Other definitions for relics that I've seen before include "Parts of holy person's body or belongings" , "Venerated remains" , "Venerated pieces of saints" , "Pieces of saints' bodies or possessions" , "Items surviving from an earlier time" .)