Green’s Dictionary of Slang

mizzle v.

also misle, missle
[? Shelta misli, to go, note naut. jargon mizzle one’s dick, to miss one’s passage]

1. [late 18C+] to leave, to go quickly, to escape; thus excl. mizzle! go away! be off!

2. [mid-19C] to die.

In phrases

do a mizzle (v.)

[1900s–20s] to leave, to run off.

on the mizzle

[late 19C] leaving, en route.