Quickly getting cold, is a dictator (7)
I believe the answer is:
fascist
'a dictator' is the definition.
The definition and answer can be both people as well as being singular nouns.
Perhaps you can see a link between them that I don't see?
'quickly getting cold is' is the wordplay.
'quickly' becomes 'fast' (synonyms).
'getting' is an insertion indicator.
'cold' becomes 'c' (eg on taps).
'c'+'is'='cis'
'fast' enclosing 'cis' is 'FASCIST'.
Can you help me to learn more?
(Other definitions for fascist that I've seen before include "Authoritarian right-winger" , "Right-wing authoritarian" , "Extreme right-winger" , "on the right wing" , "Neo-Nazi" .)