Frenchman to consume flesh (4)
I believe the answer is:
meat
'flesh' is the definition.
(flesh is meat)
'frenchman to consume' is the wordplay.
'frenchman' becomes 'm' (abbreviation for Monsieur - like 'Mr').
'to consume' becomes 'eat' (to consume something is to eat it).
'm'+'eat'='MEAT'
(Other definitions for meat that I've seen before include "grub, say" , "Spam, ham, lamb etc" , "Eg, beef or pork" , "Animal flesh as food" , "Ham, pork, chicken etc" .)