A tramp is cooking meat (8)
I believe the answer is:
pastrami
'meat' is the definition.
(pastrami is a kind of meat)
'a tramp is cooking' is the wordplay.
'cooking' is an anagram indicator.
'a'+'tramp'+'is'='atrampis'
'atrampis' with letters rearranged gives 'PASTRAMI'.
(Other definitions for pastrami that I've seen before include "Seasoned smoked beef, served in thin slices" , "Spiced smoked beef" , "Smoked, highly-seasoned cut of beef" , "A tramp is (anag) - meat" , "Meat dish" .)