Atlas in a production produced by Frenchman (8)
I believe the answer is:
alsatian
'frenchman' is the definition.
(I have seen 'Old Frenchman' mean 'alsatian' so perhaps 'frenchman' could also mean 'alsatian')
'atlas in a production' is the wordplay.
'production' indicates an anagram.
'atlas'+'in'+'a'='atlasina'
'atlasina' with letters rearranged gives 'ALSATIAN'.
'produced by' is the link.
(Other definitions for alsatian that I've seen before include "aggressive dog" , "Breed of dog" , "Large dog and someone from northern France" , "Dog (from French border region?)" , "Large dog and someone from Alsace" .)