Faith school in East following unknown god (7)
I believe the answer is:
yeshiva
'faith school' is the definition.
(Orthodox Jewish school)
'east following unknown god' is the wordplay.
'east' becomes 'e' (synonyms).
'following' means one lot of letters go next to another.
'unknown' becomes 'y' (algebra).
'god' becomes 'shiva' (Shiva is a Hindu god).
'e' after 'y' is 'ye'.
'ye'+'shiva'='YESHIVA'
'in' acts as a link.
(Other definitions for yeshiva that I've seen before include "Jewish school" , "Talmud study" , "Seminary for training rabbis" , "Orthodox Jewish college" , "Orthodox Jewish seminary - is heavy (anag)" .)