Performing with small group going around a part of North America (7)
I believe the answer is:
ontario
'part of north america' is the definition.
('Ontario' is part of 'north america')
'performing with small group going around a' is the wordplay.
'performing' becomes 'on' (I've seen this in other clues**).
'with' says to put letters next to each other.
'small group' becomes 'trio' (I've seen this before).
'going around' means one lot of letters goes inside another.
'trio' going around 'a' is 'tario'.
'on'+'tario'='ONTARIO'
(Other definitions for ontario that I've seen before include "One of the Great Lakes" , "Root in a Great Lake" , "Most easterly Great Lake" , "provincial area" , "Most populous Canadian province" .)