The most common and most likely answer to this crossword clue is the 6 letter word TODDLE
I've seen this crossword clue in The Times
T
O
D
D
L
E
More clues leading to the result TODDLE
- Walk unsteadily with rum in bottle? Not half!
- Divine in church vestment, not the first to walk unsteadily
- Firstly taking rum, the French walk unsteadily
- Let out having imbibed rum, walk unsteadily
- Let loose having drunk rum, walk unsteadily
- Strange to get let out rudely — proceed unsteadily
- Let drunk consume rum and totter
Buddy explains!

The straight part
We know that "Walk unsteadily" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case walk unsteadily = toddle.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 TODDLE mean?
TODDLE noun- A carefree or aimless gait; a stroll.
- To walk unsteadily, as a small child does.
- To walk in a carefree manner.