Wild beast from India very quietly smuggled into house (5)
I believe the answer is:
hippo
'wild beast' is the definition.
(hippopotamus)
'india very quietly smuggled into house' is the wordplay.
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'very quietly' becomes 'pp' (musical abbreviation for pianissimo).
'smuggled into' means one lot of letters goes inside another.
'house' becomes 'ho' (abbreviation for house).
'i'+'pp'='ipp'
'ipp' put within 'ho' is 'HIPPO'.
'from' acts as a link.
(Other definitions for hippo that I've seen before include "Massive thick-skinned animal of African rivers" , "Semiaquatic animal" , "Large semi-aquatic mammal (abbr)" , "One wallows in mud" , "African wallower (abbr)" .)