Home of the brave, made of slate, and well heated? Not right! (6)
I believe the answer is:
wigwam
'home of the brave' is the definition.
(brave could historically mean a Native American)
'slate and well heated? not right' is the wordplay.
'slate' becomes 'wig' (both can mean to criticise).
'and' says to put letters next to each other.
'well heated?' becomes 'warm'.
'not' suggests deleting specific letters.
'right' becomes 'r' (common abbreviation).
'warm' with 'r' taken out is 'wam'.
'wig'+'wam'='WIGWAM'
'made of' is the link.
(Other definitions for wigwam that I've seen before include "Tent of framework and skins used by native Americans" , "Amerindian home" , "Teepee" , "Tent-like dwelling" , "Home for brave" .)