The most common and most likely answer to this crossword clue is the 2 plus 3 letter word AT ONE
I've seen this crossword clue in The Daily Telegraph
A
T
O
N
E
More clues leading to the result AT ONE
- In a state of harmony, make amends
- Makes good comic broadcast in a state of desperation
- Frazzled, make amends before cards put in post
- In agreement immediately about leaving
- Desperate adult stresses with endless issue …
- Desperate to know how to proceed and make amends, put cards in post
- Doesn’t win seat, getting upset in state of utter perplexity
- Agreed time to enjoy 21 and 15s?
- Agreed in the second year of life?
- I sat down, tense, confused, utterly at a loss
Buddy explains!

The straight part
We know that "utterly at a loss" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case utterly at a loss = at one.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.