Shrink from any last resolution? (7)
I believe the answer is:
analyst
'shrink' is the definition.
(shrink can informally mean a psychoanalyst)
'any last resolution' is the wordplay.
'resolution' indicates anagramming the letters.
'any'+'last'='anylast'
'anylast' with letters rearranged gives 'ANALYST'.
'from' acts as a link.
(Other definitions for analyst that I've seen before include "One making detailed study" , "Researcher; assayer" , "Freud, perhaps" , "Student of eg systems or psyche" , "Expert who examines and dissects, say systems" .)