Frenchman in ending thats Asian (5)
I believe the answer is:
tamil
'asian' is the definition.
(Tamil is an example)
'frenchman in ending' is the wordplay.
'frenchman' becomes 'm' (abbreviation for Monsieur - like 'Mr').
'in' is an insertion indicator.
'ending' becomes 'tail' (tail is a kind of ending).
'm' going within 'tail' is 'TAMIL'.
'thats' is the link.
(Other definitions for tamil that I've seen before include "Member of South Indian people" , "Asian language" , "Perhaps Indian" , "Native of south India or Sri Lanka" , "An official language of Sri Lanka" .)