Contest extension in house inspection (7)

I believe the answer is:
viewing
'house inspection' is the definition.
Although both the answer and definition are singular nouns, I cannot understand how they can define each other.
'contest extension' is the wordplay.
'contest' becomes 'vie' (both can mean to rival or fight).
'extension' becomes 'wing' (synonyms).
'vie'+'wing'='VIEWING'
'in' is the link.
Can you help me to learn more?
(Other definitions for viewing that I've seen before include "What's done in front of the TV" , "people in front of TV?" , "Opportunity to see" , "Surveying" .)