At home, lose different part of boot (6)
I believe the answer is:
insole
'part of boot' is the definition.
('insole' is part of 'boot')
'at home lose different' is the wordplay.
'at home' becomes 'in' ('in' can be similar in meaning to 'at home').
'different' indicates an anagram.
'lose' anagrammed gives 'sole'.
'in'+'sole'='INSOLE'
(Other definitions for insole that I've seen before include "Inner part of shoe" , "Oxford's content" , "Lesion in part of foot" , "Padding in a shoe" , "Boots may be holding it" .)