Health check from crank returning to take English at university (4-2)
I believe the answer is:
tune-up
'health check' is the definition.
(tune-up can mean a health assessment)
'crank returning to take english at university' is the wordplay.
'crank' becomes 'nut' (synonyms).
'returning' says the letters should be written backwards.
'to take' is a charade indicator (letters next to each other).
'english' becomes 'e' (abbreviation).
'at university' becomes 'up' (slang term meaning at university).
'nut' backwards is 'tun'.
'tun'+'e'+'up'='TUNE-UP'
'from' acts as a link.
(Other definitions for tune-up that I've seen before include "Of orchestra, bring instruments to correct pitch" , "Adjust an engine to improve its performance" , "Orchestra prepare to play" .)