Hindu deity that's quiet with four arms principally (5)
I believe the answer is:
shiva
'hindu deity' is the definition.
(Shiva is an example)
'quiet with four arms principally' is the wordplay.
'quiet' becomes 'sh' (**).
'with' is a charade indicator (letters next to each other).
'four' becomes 'iv' (roman numeral).
'principally' suggests taking the first letters.
The first letter of 'arms' is 'a'.
'sh'+'iv'+'a'='SHIVA'
'that's' is the link.
(Other definitions for shiva that I've seen before include "Major Hindu deity (the destroyer)" , "powerful deity" , "Jewish period of mourning" , "Major Hindu god with third eye in middle of forehead" , "God presiding over personal destinies" .)