Notice lease includes cover for home supporter (8)
I believe the answer is:
adherent
'supporter' is the definition.
(thesaurus)
'notice lease includes cover for home' is the wordplay.
'notice' becomes 'ad'.
'lease' becomes 'rent' ('rent' can be a synonym of 'lease').
'includes' means one lot of letters goes inside another.
'cover for' says to hollow out the word (remove centre letters).
'home' with its middle taken out is 'he'.
'ad'+'rent'='adrent'
'adrent' enclosing 'he' is 'ADHERENT'.
(Other definitions for adherent that I've seen before include "One believes in and helps spread the doctrine of another" , "sticker" , "Supporter, fan" , "Loyal follower - sticks close" , "Loyal follower, one who sticks" .)