Remarkably, Dundee Republican survived (7)
I believe the answer is:
endured
'survived' is the definition.
('endure' can be a synonym of 'survive')
'remarkably dundee republican' is the wordplay.
'remarkably' is an anagram indicator (I've seen this in other clues).
'republican' becomes 'r' (abbreviation).
'dundee'+'r'='dundeer'
'dundeer' anagrammed gives 'ENDURED'.
(Other definitions for endured that I've seen before include "Withstood" , "Bore; put up with" , "Patiently suffered" , "Borne" , "Carried on" .)