Rather small-minded hiding last of cider (6)
I believe the answer is:
pretty
'rather' is the definition.
('pretty' can be a synonym of 'rather')
'small-minded hiding last of cider' is the wordplay.
'small-minded' becomes 'petty' ('petty' can be a synonym of 'small-minded').
'hiding' means one lot of letters goes inside another.
'last of' suggests the final letters.
The last letter of 'cider' is 'r'.
'petty' going around 'r' is 'PRETTY'.
(Other definitions for pretty that I've seen before include "Nice to look at" , "Rather attractive" , "Somewhat - attractive" , "sweet" , "like a kettle of fish" .)