Follow with Frenchman's tongue (5)
I believe the answer is:
tamil
'tongue' is the definition.
(Tamil is an example)
'follow with frenchman's' is the wordplay.
'follow' becomes 'tail' (both can mean to chase or pursue).
'with' is an insertion indicator.
'frenchman' becomes 'm' (abbreviation for Monsieur).
'tail' going around 'm' is 'TAMIL'.
(Other definitions for tamil that I've seen before include "Native of south India or Sri Lanka" , "Southern Indian language" , "One in race" , "Member of South Indian people" , "Dravidian people of India and Sri Lanka" .)