The most common and most likely answer to this crossword clue is the 9 letter word BICAMERAL
I've seen this crossword clue in The Times
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More clues leading to the result BICAMERAL
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The straight part
We know that "using two houses" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case using two houses = bicameral.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does BICAMERAL mean?
BICAMERAL adjective- Being or having a system with two, often unequal, chambers or compartments; of, signifying, relating to, or being the product of such a two-chambered system.
- Of, having or relating to two separate legislative chambers or houses.
- Of a script or typeface: having two cases, upper case and lower case.
- (mentality) Relating to the functions of the two cerebral hemispheres in the history of human beings ‘hearing’ the speech of gods or idols, according to Julian Jaynes's theory of the bicameral mind.