The most common and most likely answer to this crossword clue is the 7 letter word TALARIA
T
A
L
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Buddy explains!
The straight part
We know that "winged sandals" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case winged sandals = talaria.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 TALARIA mean?
TALARIA noun- The winged sandals worn by certain gods and goddesses, especially the Roman god Mercury (and his Greek counterpart Hermes).