The most common and most likely answer to this crossword clue is the 5 letter word ODDLY
I've seen this crossword clue in The Times
O
D
D
L
Y
More clues leading to the result ODDLY
- In peculiar way, how swindler is selected for side?
- God-fearing husband’s left without theology degree, strangely
- Old theologian - extremely lofty in a curious way
- How Scandi characters become sad? In a peculiar way
- Bond I’d play now and then in unusual fashion
- Doggedly chucking egg back that’s scrambled in a curious way
- Remarkably old theologian disheartened laity
- Strangely pious, about god
- Sordid play seen off and on — or ignored in this way?
- Curiously evenly folded clays
Buddy explains!

The straight part
We know that "In peculiar way" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case in peculiar way = oddly.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 ODDLY mean?
ODDLY adverb- In a peculiar manner; strangely; unusually.
- In a manner measured by an odd number.