The most common and most likely answer to this crossword clue is the 3 plus 4 letter word ROE DEER
I've seen this crossword clue in Independent
R
O
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D
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R
More clues leading to the result ROE DEER
- Wild animals came by ’orse, reportedly
- Sound advice to boating companion, graceful creature
- European monarch following evil doer’s game
- Game to do with passing round dictionary, I think
- Animals run out with energy, rolling over grass
- Cockney’s come to us on a horse, they say
- Creature in Scottish river heartless rower traps
- Perhaps Bambi seen in rejigged order, Ena’s introduction included twice
- Girls’ school dismissing an Elizabeth, elegant beast
- Animal reportedly loving request to stick oar in
Buddy explains!

The straight part
We know that "elegant beast" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case elegant beast = roe deer.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 ROE DEER mean?
ROE DEER noun- A small, nimble Eurasian deer with no visible tail, a white rump patch, and a reddish summer coat that turns grey in winter, the male having short three-pointed antlers (Capreolus capreolus and Capreolus pygargus).