Make beloved Eileen disheartened on date with something corny? (6)
I believe the answer is:
endear
'make beloved' is the definition.
(I've seen this before)
'eileen disheartened on date with something corny?' is the wordplay.
'disheartened' says to hollow out the word (remove centre letters).
'on' is a charade indicator (letters next to each other).
'date' becomes 'd' (common abbreviation eg in DOB, date of birth).
'with' is a charade indicator (letters next to each other).
'something corny?' becomes 'ear' (as in an ear of corn).
'eileen' with its centre removed is 'en'.
'en'+'d'+'ear'='ENDEAR'
(Other definitions for endear that I've seen before include "Win over" , "Evoke love - charm" , "Bind in gratitude" , "Cause to be loved" , "Make popular" .)