Small company to employ Liverpudlian (6)
I believe the answer is:
scouse
'liverpudlian' is the definition.
(both mean coming from Liverpool)
'small company to employ' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'company' becomes 'co' (abbreviation).
'to employ' becomes 'use' ('use' can be a synonym of 'employ').
's'+'co'+'use'='SCOUSE'
(Other definitions for scouse that I've seen before include "Liverpudlian accent" , "What they speak in Liverpool?" , "Liverpudlian (colloq.)" , "English dialect spoken in Liverpool" , "(Someone) from Liverpool" .)