What does the cryptic crossword clue "A thicker cloak's disguised bartender's accessory (8,6)" mean?

The wordplay uses an anagram. anagram of A + THICKER + CLOAK'S = COCKTAILSHAKER The answer is COCKTAILSHAKER.

A thicker cloak's disguised bartender's accessory (8,6)

Daily Mail Cryptic #17442 | 8 Down | 2024-09-10 flower