The most common and most likely answer to this crossword clue is the 5 letter word ENNIS
I've seen this crossword clue in The Times
E
N
N
I
S
More clues leading to the result ENNIS
- Boy dispatching daughter in place of Clare
- Irish town you might have been in first? Oddly, no
- Dropping back, strayed around Irish town
- Went astray, shortly going round town in County Clare
- Olympic medallist taking time off from sport
- Before marriage, British sportswoman not having the head for Wimbledon event?
- Medal-winner missing start of Murray’s game
- Irish town producing top female athlete
- Went wrong, mostly heading north to find Irish town
- Activity for Sir Andy, taking time off in county town
Buddy explains!

The straight part
We know that "Irish town" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case irish town = ennis.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.