The most common and most likely answer to this crossword clue is the 7 letter word HANUMAN
I've seen this crossword clue in Independent
H
A
N
U
M
A
N
More clues leading to the result HANUMAN
Buddy explains!

The straight part
We know that "Indian god" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case indian god = hanuman.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does HANUMAN mean?
HANUMAN noun- The entellus (Semnopithecus entellus, syn. Presbytis entellus)