What does the cryptic crossword clue "Style in embroidery of red coat (3,4)" mean?

The definition is "Style". The wordplay uses an anagram. anagram of RED + COAT = ART DECO; definition: "Style" The answer is art deco.

Style in embroidery of red coat (3,4)

Telegraph Prize Cryptic #3184 | 18 Down | 2022-10-30 flower