House sold off around mid-April (5)
I believe the answer is:
lords
'house' is the definition.
(I've seen this before)
'sold off around mid-april' is the wordplay.
'off' indicates an anagram.
'around' indicates putting letters inside.
'mid' says to take the centre.
The middle letter of 'april' is 'r'.
'sold' with letters rearranged gives 'lods'.
'lods' placed around 'r' is 'LORDS'.
(Other definitions for lords that I've seen before include "London sports ground" , "Test place" , "another place for an MP" , "British upper house" , "Home of cricket" .)