Admits a last letter translated for dissident press (8)
I believe the answer is:
samizdat
'dissident press' is the definition.
(the copying of censored writings in Soviet states)
'admits a last letter translated' is the wordplay.
'last letter' becomes 'z' (last letter of the alphabet).
'translated' indicates an anagram.
'admits'+'a'+'z'='admitsaz'
'admitsaz' is an anagram of 'SAMIZDAT'.
'for' acts as a link.
(Other definitions for samizdat that I've seen before include "Distribution of illegal documents (in Soviet Union)" , "Illegal printing press" , "System of clandestine printing and distribution in the former Soviet Union" , "In the former Soviet Union, the secret distribution of banned writings" , "Circulation of underground literature in Soviet Union" .)