It's rapid as a variety of house plant (10)
I believe the answer is:
aspidistra
'house plant' is the definition.
(I've seen this before)
'it's rapid as a variety' is the wordplay.
'a variety' indicates an anagram.
'its'+'rapid'+'as'='itsrapidas'
'itsrapidas' anagrammed gives 'ASPIDISTRA'.
'of' acts as a link.
(Other definitions for aspidistra that I've seen before include "Iris adapts (anag) - indoor plant" , "Plant of the lily family" , "Huge house plant" , "leafy plant" , "Household growth" .)