The most common and most likely answer to this crossword clue is the 4 letter word DAIL
I've seen this crossword clue in The Times
D
A
I
L
More clues leading to the result DAIL
- Tabloid, possibly, not unknown in lower chamber
- Small daughter having trouble in Dublin house
- Parliament’s short periodical publication
- Char mostly served in lower house
- Democrat has trouble in parliament
- Guardian, for example, hasn’t finished making house in Ireland
- Irish assembly‘s ideal is shattered after European withdrawal
- Irish house cleaner finishing early
- Cleaner’s limited diet
- Boy climbed around Island house
Buddy explains!

The straight part
We know that "Dublin house" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dublin house = dail.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.