Native American's large basket (5)
I believe the answer is:
creel
'basket' is the definition.
(basket for holding fish)
'native american's large' is the wordplay.
'native american' becomes 'cree' (an indigenous people of North America).
'large' becomes 'L' (eg in clothes sizes).
'cree'+'l'='CREEL'
(Other definitions for creel that I've seen before include "lobster basket" , "Bobbin rack" , "Lobster catcher" , "Large fishing basket" , "Lobster pot" .)