Composer making connection in Georgia (6)
I believe the answer is:
glinka
'composer' is the definition.
(I've seen this before)
'connection in georgia' is the wordplay.
'connection' becomes 'link' (synonyms).
'in' means one lot of letters goes inside another.
'georgia' becomes 'GA' (abbreviation).
'link' put inside 'ga' is 'GLINKA'.
'making' is the link.
(Other definitions for glinka that I've seen before include "Russian composer, d. 1857" , "Russian composer (A Life for the Tsar)" , "Russian composer (Ruslan and Ludmilla)" .)