The most common and most likely answer to this crossword clue is the 7 letter word WHOOPEE
I've seen this crossword clue in The Daily Telegraph
W
H
O
O
P
E
E
More clues leading to the result WHOOPEE
- Circlet with tiny casing that delights me
- Ring found in small sort of cushion
- Band involved in little wild revelry
- Joy made little round ring
- Sex? Hell yeah!
- Boxing ring is where, regularly, you’ll get boisterous behaviour
- Bear up amid very little cheer
- Exclamation partygoers may make
- Band welcomed by little cheer
- Band breaking into small cry of delight
Buddy explains!

The straight part
We know that "cry of delight" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cry of delight = whoopee.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 WHOOPEE mean?
WHOOPEE verb- To behave exuberantly; to make whoopee.
- A spontaneous expression of delight or joy.