The most common and most likely answer to this crossword clue is the 6 letter word RAFTER
I've seen this crossword clue in The Times
R
A
F
T
E
R
More clues leading to the result RAFTER
- Run behind beam
- Beam from Heyerdahl?
- Rage at first, later beam
- Beam brighter in the end then
- Republican following one providing support for The House
- Supporter, revolutionary behind outstanding newspaper
- King in pursuit of support
- Beam first on roof then
- Uncovered urn in the style of an Attic feature?
- Beam, seeing Queen following
Buddy explains!

The straight part
We know that "traveller on water" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case traveller on water = rafter.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 RAFTER mean?
RAFTER noun- One of a series of sloped beams that extend from the ridge or hip to the downslope perimeter or eave, designed to support the roof deck and its associated loads.
- A flock of turkeys.
- To make (timber, etc.) into rafters.
- To furnish (a building) with rafters.
- To plough so as to turn the grass side of each furrow upon an unploughed ridge; to ridge.
- A raftsman.