Wilde's second poem written in friend's house (11)
I believe the answer is:
maisonnette
'house' is the definition.
(maisonnette is a kind of house)
'wilde's second poem written in friend's' is the wordplay.
'wilde's second' becomes 'i' (2nd letter of 'wilde').
'poem' becomes 'sonnet' (type of poem).
'written in' means one lot of letters goes inside another.
'friend' becomes 'mate' (mate is a kind of friend).
'i'+'sonnet'='isonnet'
'isonnet' placed inside 'mate' is 'MAISONNETTE'.
(Other definitions for maisonnette that I've seen before include "abode" , "Small house, flat (original spelling)" , "small dwelling" , "apartment" .)