Limit animal flesh, we're told (4)
I believe the answer is:
mete
'limit' is the definition.
(thesaurus)
'animal flesh we're told' is the wordplay.
'animal flesh' becomes 'meat' (I've seen this before).
'we're told' indicates a 'sounds like' (homophone) clue.
'meat' sounds like 'METE'.
(Other definitions for mete that I've seen before include "Dish (out)" , "Apportion" , "Dole (out)" , "Measure" , "To - out is to dispense (eg, justice)" .)