The most common and most likely answer to this crossword clue is the 7 letter word LULLABY
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A
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More clues leading to the result LULLABY
- Certainly no song for a wake
- Song and dance among endless Christmas turns
- Sort of strain you get reversing in volleyball, ultimately
- Quiet infant; this must have worked!
- Buy a three-pound mix that soothes infant
- The King and I actor invites dance ensemble round for a song
- Left with dull baby, heads off for air at bedtime
- What may soothe infant with head dropping
- 22 13’s short song about bairn initially?
- Night-time air beneficial for smaller people
Buddy explains!

The straight part
We know that "this must have worked" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case this must have worked = lullaby.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 LULLABY mean?
LULLABY noun- A cradlesong, a soothing song to calm children or lull them to sleep.
- To sing a lullaby to.