Cry from small Native American chief (7)
I believe the answer is:
screech
'cry' is the definition.
(I know that screech is a type of cry)
'small native american chief' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'native american' becomes 'cree' (an indigenous people of North America).
'chief' becomes 'ch' (abbreviation).
's'+'cree'+'ch'='SCREECH'
'from' is the link.
(Other definitions for screech that I've seen before include "Loud shrill cry" , "Outcry" , "Yell" , "Sudden shrill cry" , "Raucous sound" .)