The most common and most likely answer to this crossword clue is the 2 plus 3 plus 3 letter word ON THE SLY
I've seen this crossword clue in The Times
O
N
T
H
E
S
L
Y
More clues leading to the result ON THE SLY
- Truly upping time while dropping hours in secret
- Sneakily manipulating New York hostel
- Honestly worried, in private
- pposing players in periodical kicking leader under the table
- Deviously or possibly honestly?
- Honestly uneasy in private
- Frightfully honest — extremely lazy in secret
- Honestly, Dicky, in a way that’s quite sneaky
- Honestly, deviously or secretively?
- Negotiate honestly in secret
Buddy explains!

The straight part
We know that "Sneakily" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sneakily = on the sly.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.