What does the cryptic crossword clue "Snail gag we rejigged for Billy Connolly perhaps (10)" mean?

The wordplay uses an anagram. anagram of SNAIL (synonym="SNAIL") + GAG (synonym="GAG") + WE (synonym="WE") = GLASWEGIAN The answer is GLASWEGIAN.

Snail gag we rejigged for Billy Connolly perhaps (10)

Independent Cryptic #11646 | 9 Across | 2024-02-07 flower