The foreigner is at home and I have gone out (6)
I believe the answer is:
indian
'i have gone out' is the definition.
I can't tell whether this definition defines the answer.
'the foreigner is at home and' is the wordplay.
'the foreigner' becomes 'dia' (I am not sure about this - if you are sure you should believe this answer much more).
'is at' says to put letters next to each other (I've seen this in other clues).
'home' becomes 'in' ('he's home' can mean 'he's in').
'and' becomes 'n' (common abbreviation for 'and').
'dia' after 'in' is 'india'.
'india'+'n'='INDIAN'
Can you help me to learn more?
(Other definitions for indian that I've seen before include "Native of North America" , "Of a subcontinent in Asia" , "American originally" , "Native American or denizen of New Delhi, say" , "IDA inn provides for this nationality" .)